Question

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.

Answer 1

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