Question

Complete BOTH parts of the problem below. When you complete the pr

document, upload it into the drop box.
A square Garden is surrounded by a walkway of width x.
a) Find the area of the garden
b) Find the area of the walkway and the garden
​

Answer 1

Answer (a): Area of garden
`= 4x^2+12x+9`

Answer (b): Area of the square garden and the walkway =
`16x^2+24x+9`

Explanation:

Answer (a):

From given picture we see that Length of the garden = 2x+3

Width of the garden = 2x+3

Then area of the square garden = (Length)(Width)

`= (2x+3)(2x+3)`

`= 4x^2+6x+6x+9`

`= 4x^2+12x+9`

Answer (b):

From given picture we see that width of the walkway = x

Then length of the garden including walkway =x + (2x+3) +x=4x+3

Similarly width of the garden = 4x+3

Then area of the square garden and the walkway = (Length)(Width)

`= (4x+3)(4x+3)`

`= 16x^2+12x+12x+9`

`= 16x^2+24x+9`