the length of a rectangle is 5 more than the width and the area is 24. Find the length and the width.
The formula of the area of a rectangle is
A = L * w
Translate the phrase " the length of a rectangle is 5 more than the width" into an equation
We get: L = w + 5
Replace A by 24 and replace L by w + 5
24 = (w + 5)* w
24 = w^2 + 5w
24  24 = w^2 + 5w  24
0 = w^2 + 5w  24
Factor the expression on the right
0 = ( w + blank)* ( w + blank)
To get blank, look for factors of 24 that will add up to 5.
8 * 3 = 24 and 8 + 3 = 5
So fill in the blank with 8 and 3
0 = (w + 8) *( w + 3)
Now solve the above
w + 8 = 0
w + 3 = 0
w + 8 = 0
w + 8  8 = 0 8
w = 8. The answer cannot be negative
w + 3 = 0
w + 3 + 3 = 0 + 3
w = 3
L = w + 5 = 3 + 5 = 8
Comments for rectangle word problem








Jul 25, 17 09:06 PM
Learn to solve comparison word problems using modeling
New math lessons
Your email is safe with us. We will only use it to inform you about new math lessons.
Jul 25, 17 09:06 PM
Learn to solve comparison word problems using modeling