Question

Can someone solve this quick plz

Answer 1

Answer:

length = x + 5

Step-by-step explanation:

Given

area = x² + 8x + 15 and area = length × width

We require to factorise x² + 8x + 15

Consider the factors of the constant term (+ 15) which sum to give the coefficient of the x- term (+ 8)

The factors are + 5 and + 3, since

5 × 3 = 15 and 5 + 3 = 8, thus

x² + 8x + 15 = (x + 5)(x + 3)

x + 3 is the width, thus x + 5 is the length