Question

You are building a rectangular deck. The area of the deck should be 250 ft squared. You want the length of the deck to be 5 ft longer than twice its width. What should the dimensions of the deck be?
My work: 250=2x(x+5)
Is this correct so far?

Answer 1

No, your definitions are not right

let 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

Answer 2

Thank you