-
Home
- Elementary algebra
- Quadratic equations
- Applications
Sample set b
The length of a rectangle is 4 inches more than twice its width. The area is 30 square inches. Find the dimensions (length and width).
Step 1: Let
the width. Then,
the length.
Got questions? Get instant answers now!
Practice set b
The area of a triangle is 24 square meters. The base is 2 meters longer than the height. Find the base and height. The formula for the area of a triangle is
height = 6 meters, base = 8 meters
Got questions? Get instant answers now!
Sample set c
The product of two consecutive integers is 156. Find them.
This factorization may be hard to guess. We could also use the quadratic formula.
Got questions? Get instant answers now!
Practice set c
Sample set d
A box with no top and a square base is to be made by cutting out 2-inch squares from each corner and folding up the sides of a piece of a square cardboard. The volume of the box is to be 8 cubic inches. What size should the piece of cardboard be?
cannot equal 2 (the cut would go through the piece of cardboard). Check
Got questions? Get instant answers now!
Practice set d
A box with no top and a square base is to be made by cutting 3-inch squares from each corner and folding up the sides of a piece of cardboard. The volume of the box is to be 48 cubic inches. What size should the piece of cardboard be?
10 in. by 10 in.; 2 by 2 is not physically possible.
Got questions? Get instant answers now!
Sample set e
A study of the air quality in a particular city by an environmental group suggests that
years from now the level of carbon monoxide, in parts per million, in the air will be
(a) What is the level, in parts per million, of carbon monoxide in the air now?
Since the equation
specifies the level
years from now, we have
(b) How many years from now will the level of carbon monoxide be at 8 parts per million?
Got questions? Get instant answers now!
Source:
OpenStax, Elementary algebra. OpenStax CNX. May 08, 2009 Download for free at http://cnx.org/content/col10614/1.3
Google Play and the Google Play logo are trademarks of Google Inc.