Question

A library building is in the shape of a rectangle. Its floor has a length of (3x + 5) meters and a width of (5x − 1) meters:

(3x + 5)(5x − 1)

Which of the following simplified expressions represents the area of the floor of the library building in square meters?

28x − 5
15x2 − 5
15x2 + 28x − 5
15x2 + 22x − 5
GPT 3.5
To find the area of the rectangle, we multiply the length by the width.

(3x + 5)(5x − 1)
= 15x^2 + 15x - 3x - 5
= 15x^2 + 12x - 5

Therefore, the simplified expression that represents the area of the floor of the library building in square meters is:
15x^2 + 12x - 5.

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