Question

the length of the rectangle below is x+12. the width of the rectangle is x+3. what is the area of the rectangle? show all your work. write your answer in standard form.

Answer 1

The area of the rectangle is $x^{2} +15x+36$

Explanation:

It is given that the length of the rectangle is $x+12$

The width of the rectangle is $x+3$

The formula to find the area of the rectangle is given by

$A=length \times width$

where $length=x+12$ and $width=x+3$

Substituting the values in the formula, we have,

$A=(x+12)(x+3)$

Multiplying, we get,

$A=x^{2} +12x+3x+36$

Adding the like terms, we have,

$A=x^{2} +15x+36$

Thus, the area of the rectangle is $x^{2} +15x+36$