SOLUTION: The perimeter of a rectangular piece of poster board is 96in. The length is 8in. greater than the width. Find the width and the length.

Question 665662: The perimeter of a rectangular piece of poster board is 96in. The length is 8in. greater than the width. Find the width and the length.
Answer by ReadingBoosters(3246) (Show Source): You can put this solution on YOUR website!
p = 2(l) + 2(w) = 96
l = w +8
...
Substitute l into the perimeter equation
2(w+8) + 2w = 96
...
Distribute the 2
2w + 16 + 2w = 96
...
Combine like terms
4w = 96 - 16
4w = 80
Divide both sides by 4
in
...
Plug in width into the equation
2l + 2(20) = 96
2l + 40 = 96
2l = 96 - 40
2l = 56
Divide both sides by 2
in
...
Check
.....................
Delighted to help.
-Reading Boosters
Wanting for others what we want for ourselves.
www.MyHomeworkAnswers.com
RELATED QUESTIONS
Solve. The length of a rectangular poster is 7 in. greater than the width. the perimeter (answered by checkley77)

The width of a rectangular painting is 10 in. less than the length. The area of the... (answered by MathLover1,MathTherapy)

The perimeter of rectangular poster is 80 inch. The length is 10 inches greater than the... (answered by drj)

A rectangular poster covers an area of 2 square feet on a bulletin board. The width of... (answered by jim_thompson5910)

The area of a rectangular piece of plywood is 40in.squared,and the width is 8in. Find... (answered by Alan3354,macston)

a piece of postee board is in a rectangle.the length of the poster board is 2 feet and... (answered by rfer)

The length of a rectangular poster is 3 inches more than three times its width. Find the... (answered by macston)

The length of a rectangular poster is 7 in. greater than the width. the perimeter is 114... (answered by hilltop404)

The length of a rectangular poster is one foot more than the width and the diagonal of... (answered by mananth)