The perimeter of a rectangular table is 470 centimeters. If the length of the table is 22 centimeters more than twice the width of the​ table, find the dimensions of the table.

Question

The perimeter of a rectangular table is 470 centimeters. If the length of the table is 22 centimeters more than twice the width of the​ table, find the dimensions of the table.

Answer 1

L = 22 + 2W

P = 2(L + W) = 470

Substitute Eq 1 into Eq 2

2(22 + 2W + W) = 470

2(22 + 3W) = 470

44 + 6W = 470

6W = 426

W = 426 / 6 = 71 cm

L = 22 + 2W = 22 + 2(71) = 22 + 142 = 164 cm

Answer 2

P = 2l + 2w = 470

l = 2w + 24

Substitute and solve