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adelina 88 [10]
3 years ago
7

A rectangle has side lengths of x + 3 and 2 – x. Find an expression that describes the area of the rectangle.

Mathematics
2 answers:
Rus_ich [418]3 years ago
5 0

Answer:

D


Step-by-step explanation:

We find the area of a rectangle by multiplying the lengths of both the sides <em>(length and width).</em>

  • One side given is x+3
  • Another side given is 2-x

Multiplying these 2 will give us the expression for the area of the rectangle <em>(we use distributive property given by  a(b+c)=ab+ac in this problem to multiply)</em>

Area = (x+3)(2-x)\\=2x-x^2+6-3x

<em>Now combining like terms and rearranging, we have:</em>

<em>2x-x^2+6-3x\\=-x-x^2+6\\=-x^2-x+6</em>


Answer choice D is right.


bezimeni [28]3 years ago
3 0

Answer:

D

Step-by-step explanation:

distributive property:

2x - x^2 + 6 - 3x

simplify:

-x^2 - x + 6


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