Answer:
Answer (a): Area of garden [tex]= 4x^2+12x+9[/tex]
Answer (b): Area of the square garden and the walkway = [tex]16x^2+24x+9[/tex]
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)
[tex]= (2x+3)(2x+3)[/tex]
[tex]= 4x^2+6x+6x+9[/tex]
[tex]= 4x^2+12x+9[/tex]
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)
[tex]= (4x+3)(4x+3)[/tex]
[tex]= 16x^2+12x+12x+9[/tex]
[tex]= 16x^2+24x+9[/tex]
