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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)
1) - 6x + 3
2) x2 – 21
3) x2 - 4x – 21
4) x2 - 7x + 3

Respuesta :

Answer:

3) [tex]x^{2}-4x-21[/tex]

Step-by-step explanation:

first you multiply the x that's in the first parenthesis by the x in the other parenthesis giving you x2

then you multiply that same x by the 3

you now have x2 + 3

Do the same with the -7

you should get x2 + 3x - 7x - 21

Combine like terms( +3x and -7x)

and you get

[tex]x^{2} - 4x-21[/tex]

ashishdwivedilVT

The simplified expression represents the area of basketball court is x²-4x-21.

What is Area of rectangle?

The area of a rectangle (A) is the product of its length 'a' and width or breadth 'b'. So, Area of Rectangle = (a × b) square units.

Here, length of basketball court = (x-7) m

         width of basketball court = (x+3) m.

Area of Rectangle = (l × w) square units.

                               = (x-7)(x+3)

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

                               = x² + 3x - 7x - 21

                               = x² - 4x - 21

Thus, the simplified expression represents the area of basketball court is x²-4x-21.

Learn more about area of rectangle from:

https://brainly.com/question/20693059

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