A basketball court is in the shape of a rectangle. It has a length of (x − 7) meters and a width of (x + 3) meters. The expression below represents the area of the court in square meters.

(x − 7)(x + 3)

Which of the following simplified expressions represents the area of the basketball court in square meters?

− 6x + 3

x2 − 21

x2 − 4x − 21

x2 − 7x + 3 ...?

The answer is x² - 4x - 21.

The area (A) of the rectangle is:
A = l * w (l - length, w - width)

We have:
l = x - 7
w = x + 3
Therefore:
A = (x - 7)(x + 3)

Now, multiply each factor with another:
A = (x - 7)(x + 3) = x * x + x * 3 - 7 * x - 7 * 3 = x² + 3x - 7x - 21 = x² - 4x - 21

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ayoushivt ayoushivt · Answer 2 · 2022-06-07T12:54:06+02:00

The expression x²- 4x - 21 represents the area of the basketball court in square meters.

What is Area ?

The area can be defined as the space occupied by a flat shape or the surface of an object.

The area of a figure is the number of unit squares that cover the surface of a closed figure.

It is given that the area of a rectangle is (x − 7)(x + 3)

when It has a length of (x − 7) meters and a width of (x + 3) meters.

The simplified expression of the area is equal to

(x-7)(x-3)

This can also be written as

x *(x+3) - 7*(x+3)

x²+3x-7x-21

x²- 4x - 21

Therefore x²- 4x - 21 represents the area of the basketball court in square meters .

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