The length of a rectangle is 4cm longer than the width the perimeter is 80cm. Find the length.

Length = 22cm

Step-by-step explanation:

Perimeter of a rectangle, P = 2(L + W)

Also, from the question, P = 80 cm

Therefore, P = 2(L +W) = 80

The length is 4 cm longer than the width

then, length, L = 4 + W

Slot in the value of L

2 {(4+W) + W} = 80

2(4 + 2W) = 80

8 + 4W = 80

Subtract 8 from both sides

8 - 8 +4W = 80 -8

4W = 72

Divide both sides by the coefficient of W which is 4

W = 18 cm

Recall,

L = 4 + W

L = 4 + 18

L = 22cm

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