shea196
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(07.06 LC)
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? (5 points)
Select one:
O a. - 6x + 3
b. x2 - 21
O c. x2 - 4x - 21
d. x2 - 7x + 3

Respuesta :

Answer:Its O.x^2-4x-21

Step-by-step explanation:

(x-7)(x+3)we multiplie one value with anothet in different brackets and we get x^2+3x-7x-21,add same constant with x and u get .O

Area of rectangular basketball court is equals to x² - 4x -21.

What is area?

"Area is defined as the total enclosed space occupied by any two dimensional figure."

Formula used

(x-a)(x +b) = x(x +b) -a (x +b)

                = x² + (b - a)x -ab

According to the question,

Given,

length =( x- 7)meters

width =( x+ 3) meters

Area = (x - 7) (x +3)

Simplify the expression of area using formula we get

    (x - 7) (x +3)

⇒ x (x +3) -7 (x+3)

⇒ x² +3x -7x -21

⇒ x² -4x -21

Hence, Option( C ) is the correct answer.

Learn more about area here

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