The perimeter of a rectangle is 524cm. The length is is 42cm more than the width. What is the length of the rectangle?

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Mathematics

16 February, 11:50

The perimeter of a rectangle is 524cm. The length is is 42cm more than the width. What is the length of the rectangle?

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Answers (2)

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Talia Ayala · Answer 1

Perimeter = 524cm

Width = 215cm

Length = 173cm

Reyna Pearson · Answer 2

Represent L as L = W + 42.

Then P = 2W + 2L

Here, P = 524 cm = 2W + 2 (W+42) = 2W + 2W + 84 = 4W + 84

Solving 524 = 4w + 84, 4W = 524-84 = 440.

Dividing both sides by 4: W = 110 cm. Then L = 110+42 = 152.

Check: Does 2 (110) + 2 (152) = 524? YES

W = 110 cm and L = 152 cm