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 len gth and width of the rectangle? a. length = 121, width = 25b. length = 114.3, width = 23.7
c. length = 25, width = 121d. length = 121.7, width = 24.3
1 answer:
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!
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