the perimeter of a rectangle is 150cm. the length is 15cm greater than the width. find the dimensions.

Answer 1

The width is x cm

The length is (x+15) cm

The perimeter is 2L + 2W

2(x+15) + 2(x) = 150

2x + 30 + 2x = 150

4x + 30 = 150

4x +30 -30 = 150 -30

4x = 120

x = 30 cm (Width)

x+15 = 30 +15 = 45 cm (Length)

Check:

2 (30 + 15) + 2 (30) = 150

2(45) + 60 = 150

90 + 60 = 150

150 = 150