Question

The area of the front yard for question number 1 is 60x^2 + 12x - 21 The grass area of the backyard for question number 2 is 81x^2 - 212x + 68

Answer 1

Given,

The area of the front yard is 60x^2 + 12x - 21 .

The grass area of the backyard is 81x^2 - 212x + 68.

The total are is the sum of the front yard and the back yard.

So, to obtain the total area adding the area of the front yard and back yard.

`\begin{gathered} \text{Total area= area of front yard+area of back yard} \\ =60x^2+12x-21+81x^2-212x+68 \\ =60x^2+81x^2+12x-212x-21+68 \\ =x^2(60+81)+x(12-212)-21+68 \\ =141x^2-200x+47 \end{gathered}`

Hence, the total area is 141x^2-200x+47.