Question

The are in the rectangle below can be represented by 13x^2 - 4x + 10 and the area of the trapezoid can be represented by 9x^2 - 8x + 4. Write an expression to represent the area of the shaded region

Answer 1

The area of shaded region

`4x^2+4x+6`

Explanation:

We are given that the area of rectangle

`13x^2-4x+10`

The area of trapezoid represented by

`9x^2-8x+4`

We have to find the expression to represent the area of the shaded region.

To find the area of shaded region we will subtract the area of trapezoid from the area of rectangle.

Therefore, the area of shaded region

Area of rectangle-Area of trapezoid

`13x^2-4x+10-(9x^2-8x+4)`

`13x^2-4x+10-9x^2+8x-4`

`4x^2+4x+6`

Hence, the area of shaded region

`4x^2+4x+6`