SOLUTION: The length of a rectangle is 7 in. more than twice its width. If the perimeter of the rectangle is 32 in., find the width of the rectangle.
Algebra.Com
Question 76273: The length of a rectangle is 7 in. more than twice its width. If the perimeter of the rectangle is 32 in., find the width of the rectangle.
Answer by tutorcecilia(2152) (Show Source): You can put this solution on YOUR website!
Use the formula for the perimeter of a rectangle:
P = 2(length+width)
P=32
Length=width + 7
Width = w
.
Plug-in the values and solve:
P=2(l+w)
32=2(w+7+w)
32=2(2w+7)
32/2=2(2w+7)/2
16=2w+7
16-7=2w
9=2w
9/2=2w/2
4.5=w
.
Check by plugging all of the values back into the original equation:
32=2(4.5+7+4.5)
32=32 [checks out]
RELATED QUESTIONS
The length of a rectangle is 10 in. more than twice its width. If the perimeter of the... (answered by ptaylor)
The length of a rectangle is 1 in. more than twice its width. If the perimeter of the... (answered by checkley71)
The length of a rectangle is 10 in. more than twice its width. If the perimeter of the... (answered by BurningFlame_marc)
The length of a rectangle is 1 in. more than twice its width. If the perimeter of the... (answered by checkley71)
The length of a rectangle is 3 in. more than twice its width. If the perimeter of the... (answered by sdmmadam@yahoo.com)
The length of a rectangle is 4 in. more than twice its width. If the perimeter of the... (answered by pizza)
The length of a rectangle is 6 in. more than twice its width. If the perimeter of the... (answered by Earlsdon)
The length of a rectangle is 2 in. more than twice its width. If the perimeter of the... (answered by checkley75,mathman409)
The length of a rectangle is 8 in. more than twice its width. If the perimeter of the... (answered by hailu,checkley75)