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`

Step-by-step 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 * 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`