Express the area of the entire rectangle.

Mathematics

1 answer:

Cloud [144]3 years ago

7 0

Answer:

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

Step-by-step explanation:

The formula of an area of a rectangle:

$A=lw$

l - length

w - width

We have

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

Substitute:

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

Use FOIL (a + b)(c + d) = ac + ad + bc + bd

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

combine like terms

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

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