the rectangle shown has a perimeter of 76 cm and the given area. Its length is 3 more than four times its width. Write and solve a system of equations to find the dimensions of the rectangle

Answer 1

76= 2L+2W

L=3+4W

76=2(3+4W)+2W = 6+8W +2W = 6 +10W

10W = 76-6 = 70

W = 70/10 = 7 cm for width

L=3+4(7) = 3+28 = 31 cm for length

76=2(31)+2(7) = 62+14 = 76