Question

Jack is mowing a lawn that has a shed. needs to know area of lawn to mow. dimensions of yard are 5x by 13 x-4 . she'd are 2x by 2x+4. " find polynomial that describes area of lawn needed to mow. Polynomial in answer should have two terms.

please help.

Answer 1

The diagram of the lawn and the shed is shown below.

The area of the lawn needed to be mowed equals to the area of the yard minus the area of the shed

The area of the yard =
`(5x)(13x-4) = 65 x^(2) -20x`
The area of the shed =
`(2x)(2x+4)=4 x^(2) +8x`

The area of the lawn =
`65 x^(2) -20x-(4 x^(2) +8x)`
The area of the lawn =
`65 x^(2) -20x-4 x^(2) -8x`
The area of the lawn =
`61 x^(2) -28x`