MATH SOLVE

4 months ago

Q:
# the perimeter of a rectangle is 124 cm. the length is six more than three times the width. what are the dimensions of the rectangle?

Accepted Solution

A:

P = 2(L + W)

P = 124

L = 3W + 6

124 = 2(3W + 6 + W)

124 = 2(4W + 6)

124 = 8W + 12

124 - 12 = 8W

112 = 8W

112/8 = W

14 = W <=== width is 14 cm

L = 3W + 6

L = 3(14) + 6

L = 42 + 6

L = 48 <=== length is 48 cm

P = 124

L = 3W + 6

124 = 2(3W + 6 + W)

124 = 2(4W + 6)

124 = 8W + 12

124 - 12 = 8W

112 = 8W

112/8 = W

14 = W <=== width is 14 cm

L = 3W + 6

L = 3(14) + 6

L = 42 + 6

L = 48 <=== length is 48 cm