the ratio of the length to the width of a rectangle is 7 :6 the perimeter of the rectangle is 78 in. What is the area of the rectangle

Answer 1

6L = 7W

L=7W/6

2L+2W = 78 = perimeter, divide both sides by 2

L+W = 39

7W/6 + W = 39

13W/6 = 39 divide both sides by 13

W/6 = 3 multiply both sides by 6

W = 18

L= 7(18/6) = 21

Area = LW = 18(21) = 378 square inches

A= 378 in^2