SOLUTION: The perimeter of a rectangle is 53cm. If the length is four times the width decreased by 11cm, find its dimensions.
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Question 795474: The perimeter of a rectangle is 53cm. If the length is four times the width decreased by 11cm, find its dimensions.
Answer by waynest(281) (Show Source): You can put this solution on YOUR website!
length = 4w - 11
width = w
perimeter = 53
2w + 2(4w - 11) = 53
2w + 8w - 22 = 53
19w - 22 + 22 = 53 + 22
10w = 75
10w/10 = 75/10
w = 7.5
check:
2(7.5) + 2(4(7.5) - 11) = 53
15 + 2( 30 - 11) = 53
15 + 2(19) = 53
15 + 38 = 53
53 = 53
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