Question

30. The perimeter of a rectangle is 292 feet. The length of the rectangle is 4 feet less than 5 times the width. What is the length and width of the rectangle?

a. length = 121, width = 25​​b. length = 114.3, width = 23.7
c. length = 25, width = 121​​d. length = 121.7, width = 24.3

Answer 1

formula for perimeter ;
P = length + length + width + width
P = 2l + 2w

l = -4 + 5w
l = 5w - 4

substitute into equation of perimeter

292 = 2(5w - 4) + 2w

292 = 10w - 8 + 2w

292 + 8 = 10w + 2w

300 = 12w

25 = w

substitute into eqution to find the length;

l = 5(25) - 4
l = 125 - 4
l = 121

therefore, the width is 25 and the length is 121

hope that helps, God bless!