Question

Express the area of the entire rectangle.

Your answer should be a polynomial in standard form.
x+7 x+5

Answer 1

Given:

Consider the sides of the rectangle are (x+7) and (x+5) units.

To find:

The area of the entire rectangle in standard form.

Solution:

The area of the rectangle is:

`A=l* w`

Where, l is length and w is width of the rectangle.

So, the area of the given rectangle is:

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

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

`A=x^2+5x+7x+35`

`A=x^2+12x+35`

Therefore, the area of the rectangle is
`A=x^2+12x+35`.