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The length and width of a rectangle are shown below.50 - X2x+10

The length and width of a rectangle are shown below.50 - X2x+10-example-1

1 Answer

4 votes

The area of a rectangle is length times width.

We simply mutliply and distribute the expressions for length and width.

Given,

Length


2x+10

Width


50-x

Thus, the area is:


A=(2x+10)(50-x)

We use the distributive property [(a+b)(c+d) = ac + ad + bc + bd] to multiply this expression out:


\begin{gathered} A=(2x+10)(50-x) \\ A=(2x)(50)-(2x)(x)+(10)(50)-(10)(x) \\ A=100x-2x^2+500-10x \\ A=-2x^2+90x+500 \end{gathered}

From the answer choices, the correct answer is:

C
User GONeale
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