The length of a rectangle is 7cm greater than the width. Find the length and the width if the perimeter is 54cm

Answer 1

let x = width of rectangle
let x+7 = length o rectangle (since according to first statement, length is 7 greater than the width represented by x)
recall that perimeter of rectangle is:
P = 2*L + 2*W
substituting,,
54 = 2(x+7) + 2x
54 = 2x + 14 + 2x
54 = 4x + 14
54 - 14 = 4x
40 = 4x
40/4 = (4x)/4
x = 10 cm (width)
x+7 = 17 cm (length)

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