Question

The area of a classroom floor is given by the expression 30x³+8x² square feet, and the width of the classroom is 2x feet. What is the length of the classroom floor?

(A) 5x²+4x ft
(B) 15x²−4x ft
(C) 15x²+2x ft
(D) 15x²−2x ft

Answer 1

To find the length of the classroom floor, divide the area by the width, simplifying the expression to 15x² + 4x ft.

Step-by-step explanation:

To find the length of the classroom floor, we need to divide the area by the width. The area of the floor is given by the expression 30x³ + 8x² square feet, and the width is 2x feet. So, the length of the floor is (30x³ + 8x²) / (2x).

To simplify the expression, we can cancel out the common factor of 2x in the numerator and denominator, which gives us (30x² + 8x) / 2. Simplifying further, we get 15x² + 4x.

Therefore, the length of the classroom floor is 15x² + 4x ft (Option A).