Answer:
length = 25 feet and width = 17 feet
Step-by-step explanation:
area (A ) = length × width, hence
A = (x + 10)(x + 2) ← expand factors
= x² + 12x + 20
given A = 425, then
x² + 12x + 20 = 425 ( subtract 425 from both sides )
x² + 12x - 405 = 0 ← in standard form
(x + 27)(x - 15) = 0 ← in factored form
equate each factor to zero and solve for x
x + 27 = 0 ⇒ x = - 27
x - 15 = 0 ⇒ x = 15
but x > 0 ⇒ x = 15, therefore
length = 15 + 10 = 25 feet and width = 15 + 2 = 17 feet
