A rectangle has an area of 105 square feet. If the sum of the length and width is 26 feet, find the dimensions.

Question

Kamila Houston

Mathematics

1 November, 16:57

A rectangle has an area of 105 square feet. If the sum of the length and width is 26 feet, find the dimensions.

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Answers (1)

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Faulkner · Answer 1

X+y=26, y=26-x

a=xy, using y from above:

a=x (26-x)

a=26x-x^2, and we are told that a=105

105=26x-x^2

x^2-26x+105=0

x^2-5x-21x+105=0

x (x-5) - 21 (x-5) = 0

(x-21) (x-5) = 0

So the dimensions are 5 ft by 21 ft.