contestada

Which of the following variable expressions would represent the area of a rectangle if its length was represented by x+5 and its width was represented by x-2?

x[tex]x^{2} +3x+10\\
x^{2} +3x-10\\
x^{2} -10x+3\\
x^{2} -10[/tex]

Respuesta :

xKelvin

Answer:

B

Step-by-step explanation:

Remember that the area of a rectangle is given by the formula [tex]A=lw[/tex].

We know that the length is [tex](x+5)[/tex] and the width is [tex](x-2)[/tex]. Therefore, the area will be:

[tex]A=(x+5)(x-2)[/tex]

Expand. Use the Distribute Property. This yields:

[tex]A=(x+5)(x)+(x+5)(-2)[/tex]

Multiply:

[tex]A=(x^2+5x)+(-2x-10)[/tex]

Combine Like Terms:

[tex]A=x^2+(5x-2x)-10\\A=x^2+3x-10[/tex]

Therefore, our answer is B.

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