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Use Properties of Rectangles, Triangles, and Trapezoids

Understand Linear, Square, Cubic Measure

In the following exercises, would you measure each item using linear, square, or cubic measure?

amount of sand in a sandbag

cubic

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In the following exercises, find

  1. the perimeter
  2. the area of each figure

Three squares are shown, in a sideways L shape.

  1. 8 units
  2. 3 sq. units

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Use Properties of Rectangles In the following exercises, find the

  1. perimeter
  2. area of each rectangle

The length of a rectangle is 42 meters and the width is 28 meters.

  1. 140 m
  2. 1176 sq. m

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The length of a rectangle is 36 feet and the width is 19 feet.

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A sidewalk in front of Kathy’s house is in the shape of a rectangle 4 feet wide by 45 feet long.

  1. 98 ft.
  2. 180 sq. ft.

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A rectangular room is 16 feet wide by 12 feet long. In the following exercises, solve.

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Find the length of a rectangle with perimeter of 220 centimeters and width of 85 centimeters.

25 cm

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Find the width of a rectangle with perimeter 39 and length 11 .

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The area of a rectangle is 2356 square meters. The length is 38 meters. What is the width?

62 m

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The width of a rectangle is 45 centimeters. The area is 2700 square centimeters. What is the length?

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The length of a rectangle is 12 centimeters more than the width. The perimeter is 74 centimeters. Find the length and the width.

24.5 in., 12.5 in.

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The width of a rectangle is 3 more than twice the length. The perimeter is 96 inches. Find the length and the width.

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Use Properties of Triangles

In the following exercises, solve using the properties of triangles.

Find the area of a triangle with base 18 inches and height 15 inches.

135 sq. in.

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Find the area of a triangle with base 33 centimeters and height 21 centimeters.

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A triangular road sign has base 30 inches and height 40 inches. What is its area?

600 sq. in.

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If a triangular courtyard has sides 9 feet and 12 feet and the perimeter is 32 feet, how long is the third side?

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A tile in the shape of an isosceles triangle has a base of 6 inches. If the perimeter is 20 inches, find the length of each of the other sides.

7 in., 7 in.

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Find the length of each side of an equilateral triangle with perimeter of 81 yards.

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The perimeter of a triangle is 59 feet. One side of the triangle is 3 feet longer than the shortest side. The third side is 5 feet longer than the shortest side. Find the length of each side.

17 ft., 20 ft., 22 ft.

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One side of a triangle is three times the smallest side. The third side is 9 feet more than the shortest side. The perimeter is 39 feet. Find the lengths of all three sides.

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Use Properties of Trapezoids

In the following exercises, solve using the properties of trapezoids.

The height of a trapezoid is 8 feet and the bases are 11 and 14 feet. What is the area?

100 sq. ft.

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The height of a trapezoid is 5 yards and the bases are 7 and 10 yards. What is the area?

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Find the area of the trapezoid with height 25 meters and bases 32.5 and 21.5 meters.

675 sq. m

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A flag is shaped like a trapezoid with height 62 centimeters and the bases are 91.5 and 78.1 centimeters. What is the area of the flag?

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Solve Geometry Applications: Circles and Irregular Figures

Use Properties of Circles

Questions & Answers

what is variations in raman spectra for nanomaterials
Jyoti Reply
I only see partial conversation and what's the question here!
Crow Reply
what about nanotechnology for water purification
RAW Reply
please someone correct me if I'm wrong but I think one can use nanoparticles, specially silver nanoparticles for water treatment.
Damian
yes that's correct
Professor
I think
Professor
what is the stm
Brian Reply
is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.?
Rafiq
industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
Damian
How we are making nano material?
LITNING Reply
what is a peer
LITNING Reply
What is meant by 'nano scale'?
LITNING Reply
What is STMs full form?
LITNING
scanning tunneling microscope
Sahil
how nano science is used for hydrophobicity
Santosh
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest. Rafiq
Rafiq
what is differents between GO and RGO?
Mahi
what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.? How this robot is carried to required site of body cell.? what will be the carrier material and how can be detected that correct delivery of drug is done Rafiq
Rafiq
what is Nano technology ?
Bob Reply
write examples of Nano molecule?
Bob
The nanotechnology is as new science, to scale nanometric
brayan
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Damian
Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
Stoney Reply
why we need to study biomolecules, molecular biology in nanotechnology?
Adin Reply
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
Adin
why?
Adin
what school?
Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
anyone know any internet site where one can find nanotechnology papers?
Damian Reply
research.net
kanaga
sciencedirect big data base
Ernesto
Introduction about quantum dots in nanotechnology
Praveena Reply
what does nano mean?
Anassong Reply
nano basically means 10^(-9). nanometer is a unit to measure length.
Bharti
do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?
Damian Reply
absolutely yes
Daniel
A soccer field is a rectangle 130 meters wide and 110 meters long. The coach asks players to run from one corner to the other corner diagonally across. What is that distance, to the nearest tenths place.
Kimberly Reply
Jeannette has $5 and $10 bills in her wallet. The number of fives is three more than six times the number of tens. Let t represent the number of tens. Write an expression for the number of fives.
August Reply
What is the expressiin for seven less than four times the number of nickels
Leonardo Reply
How do i figure this problem out.
how do you translate this in Algebraic Expressions
linda Reply
why surface tension is zero at critical temperature
Shanjida
I think if critical temperature denote high temperature then a liquid stats boils that time the water stats to evaporate so some moles of h2o to up and due to high temp the bonding break they have low density so it can be a reason
s.
Need to simplify the expresin. 3/7 (x+y)-1/7 (x-1)=
Crystal Reply
. After 3 months on a diet, Lisa had lost 12% of her original weight. She lost 21 pounds. What was Lisa's original weight?
Chris Reply

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Source:  OpenStax, Prealgebra. OpenStax CNX. Jul 15, 2016 Download for free at http://legacy.cnx.org/content/col11756/1.9
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