Question

A garden is extended on both sides. a. The area of the garden after the extension is represented by (x+12)^2. Find this product. b. Use the polynomial in part (a) to find the area of the garden when x=8. What is the area of the garden?

Answer 1

Part a)
`x^(2)+24x+144`

Part b) The area of the garden is
`400\ units^(2)`

Explanation:

Part a)

we know that

The area of the garden after the extension is equal to

`(x+12)(x+12)=(x+12)^(2)\\ \\=x^(2)+2x(12)+12^(2)\\ \\x^(2)+24x+144`

Part b) For
`x=8` find the area of the garden

Substitute the value of x in the polynomial

`8^(2)+24(8)+144=400\ units^(2)`