Question

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

Answer 1

Answer:

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

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

Step-by-step 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)

$= (4x+3)(4x+3)$

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

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