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Vera_Pavlovna [14]
2 years ago
14

Express the area of the entire rectangle.

Mathematics
1 answer:
Cloud [144]2 years ago
7 0

Answer:

\huge\boxed{A=x^2+12x+35}

Step-by-step explanation:

The formula of an area of a rectangle:

A=lw

<em>l</em><em> - length</em>

<em>w</em><em> - width</em>

We have

l=x+7\\\\w=x+5

Substitute:

A=(x+7)(x+5)

Use FOIL <em>(a + b)(c + d) = ac + ad + bc + bd</em>

<em></em>A=(x)(x)+(x)(5)+(7)(x)+(7)(5)\\\\A=x^2+5x+7x+35<em></em>

combine like terms

A=x^2+(5x+7x)+35\\\\A=x^2+12x+35

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