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The perimeter of a rectangle is 72 cm. The length, l, of the rectangle is 6 cm longer than the width, w.

What is the width of the rectangle?

A. 10 cm
B. 8 cm
C. 15 cm
D. 33 cm

Respuesta :

let length of the rectangle be l

length is 6 cm longer than the width, w

l = w + 6

 perimeter of rectangle is 72 cm

= 2l + 2w

substitute l = w + 6

2(w+6) + 2w = 72

4w + 12 = 72

4w = 60

x = 15

ans is C. 15 cm

Answer:

Step-by-step explanation:

Perimeter = 2 x (length + width)

72 = 2 x ( l + w)

Because l = w +6

72 = 2 x (w + 6 + w)

= 2 x (2w + 6)

= 4w + 12

4w = 60

w = 15 cm

The answer is C.

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