Question

Last one i need help with to move on! I have a pic of the question

Answer 1

length = 4 yards and width = 3.5 yards

let width be w then length is 2w - 3

area = w(2w - 3) = 14 (rearrange in standard form )

2w² - 3w - 14 = 0 ← in standard form

(2w - 7 )(w + 2 ) = 0 ← in factored form

equate each factor to zero and solve for w

2w - 7 = 0 ⇒ w = 3.5

w + 2 = 0 ⇒ w = - 2

but w > 0, hence w = 3.5

width = 3.5 yards and length = (2 × 3.5 ) - 3 = 4 yards