Question

The area of a rectangle is 12a^2-a-6 square inches. The width is 4a-3 inches. What is the length?

Answer 1

The length of rectangle is (3a+2).

Explanation:

The area of rectangle is
`12a^2-a-6`.

The width of the triangle is (4a-3).

The area of a rectangle is the product of its length and width.

`A=l* w`

`12a^2-a-6=l* (4a-3)`

`l=(12a^2-a-6)/(4a-3)`

`l=(12a^2-9a+8a-6)/(4a-3)`

`l=(3a(4a-3)+2(4a-3))/(4a-3)`

`l=((4a-3)(3a+2))/(4a-3)`

Cancel out the common factor 4a-3.

`l=3a+2`

Therefore the length of the rectangle is (3a+2).