A rectangle has a length of 27 feet less than nine times its width. If the area of the rectangle is 972 find the length of the rectangle

Question

Mathematics

Manatee

23 September, 14:17

A rectangle has a length of 27 feet less than nine times its width. If the area of the rectangle is 972 find the length of the rectangle

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Brooklynn Osborn · Answer 1

(9x-27) x = 972

9x²-27x = 972

9x²-27x-972 = 0

x²-3x-108 = 0

(x+9) (x-12) = 0

x = - 9 or x = 12

Because x has to be >0, thus x = 12 therefore the length of the rectangle is 9 (12) - 27 = 81