SOLUTION: The length of a rectangle is 6 cm longer than its width. If the perimeter is 40 cm, what is the area?

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Question 266232: The length of a rectangle is 6 cm longer than its width. If the perimeter is 40 cm, what is the area?
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!


Let us state the given:

Width = ? = x
Length = 6cm+%2B+x+
Perimeter = 40cm

Knowing Perimeter of a Rectangle, substitute given:
P%5BR%5D=2L+%2B+2W
40=2%286%2Bx%29%2B2%28x%29
40=12%2B2x%2B2x
40=12%2B4x ----> 4x=40-12 ---> 4x=28 ---> cross%284%29x%2Fcross%284%29=cross%2828%297%2Fcross%284%29
x=7cm=Width

For Length=6cm%2B7cm=13cm
SO for the AREA%5BR%5D+=+L+%2A+W+=+%2813cm%29%287cm%29
highlight%28red%28Area%5BR%5D=91cm%5E2%29%29

Thank you,
Jojo