Jack is mowing a lawn that has a shed. Jack wants to know the area of the lawn he has to mow. here are the dimensions of the yard and the shed. 13x-4 length 5x withd shed is 2x+4length withd is 2x

find a polynomial that describes the area of the lawn he has to mow. i. e. find the area of the area of the shed.

We know that the formula for area is simply:

area = l w

where l is length and w is width

yard dimensions: l = 13x - 4, w = 5x

Ayard = (13x - 4) 5x = 65x^2 - 20x

shed dimensions: l = 2x + 4, w = 2x

Ashed = (2x + 4) 2x = 4x^2 + 8x

Therefore the area to mow is:

Amow = Ayard - Ashed

Amow = 65x^2 - 20x - (4x^2 + 8x)

Amow = 65x^2 - 20x - 4x^2 - 8x

Amow = 61x^2 - 28x