220k views
5 votes
Refer to the rectangle below. The length of the rectangle is x + 12. The width of the rectangle is x + 3.

Please determine the area of the rectangle.

1 Answer

5 votes

Answer:


x^2+15x+36

Explanation:

The complete question is shown in the attachment.

The length of the rectangle is x + 12. The width of the rectangle is x + 3.

Recall that area of a rectangle is
Length * Width

In terms of x, the area is
(x+12)(x+3)

Recall the distributive property of real numbers:
(a+b)(c+d)=a(c+d)+b(c+d)

We apply this property to get:


(x+12)(x+3)=x(x+3)+12(x+3)

We expand again to get:


(x+12)(x+3)=x^2+3x+12x+36

We now simplify to obtain:


(x+12)(x+3)=x^2+15x+36

The area of the rectangle is
x^2+15x+36

Refer to the rectangle below. The length of the rectangle is x + 12. The width of-example-1
User Andrey Langovoy
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories