Question

4. The area of a rectangular vegetable garden is (12u2 - 8u - 15)m?

Which of the following are the expressions to determine the
dimensions?
A. L = (3u-5)m; W = (4u + 3)m
B. L= (bu + 5)m; W = (2-3)m
C. L = (6u - 3)m; W = (2u - 5)m
D. L = (12u - 15)m; W = (u + 1)m


plsss answerre huhu helppp​

Answer 1

L = (6u + 5)m ; W = (2u-3)m

Explanation:

Given;

Area of the rectangular vegetable garden, A = (12u² - 8u - 15)m²

Let the length of the rectangular vegetable garden = L

Let the width of the rectangular vegetable garden = W

A = L x W

Factorize the given area;

= 12u² - 8u - 15

= 12u² -18u + 10u - 15

= 6u(2u - 3) + 5(2u - 3)

= (6u + 5)(2u-3)

Thus, L = (6u + 5)m and W = (2u-3)m

Option B, is the right solution, although it was wrongly typed.