You are building a rectangular deck. The area of the deck should be 250 ft.². You want the lengths of the deck to be 5 feet longer than twice its width. What should the dimensions of the deck be?

Question

Mathematics

Alice Carroll

30 September, 06:23

You are building a rectangular deck. The area of the deck should be 250 ft.². You want the lengths of the deck to be 5 feet longer than twice its width. What should the dimensions of the deck be?

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Answers (1)

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Amaris Dawson · Answer 1

Et the width be x

"the length of the deck to be 5 ft longer than twice its width" - - - >length = 2x+5

then

x (2x+5) = 250

2x^2 + 5x - 250 = 0

(x - 10) (2x + 25) = 0

x = 10 or x is a negative, which makes no sense

width = 10

length = 25

check:

is the length 5 more than twice the width? yes

is the area 250? yes