The length of a rectangle is 8cm more than four times the width.if the perimeter of the rectangle is 46cm, what are the dimensions?

Answer 1

Perimeter P = 46 = 2L+2W, but L=4W+8, so P = 2(4W+8) + 2W

P=8W + 16 + 2W

P=10W + 16

46-16 = 10W, so W=3.

46 = 2L +2(3) = 2L+6

Subtract 6 from both sides to get

40 = 2L, so L=20.

Check: 20+20+3+3 = 46