Answer:
176 square yards
Step-by-step explanation:
The picture of the question in the attached figure N 1
we know that
The area of the walkway around the rectangular pool, is equal to the area of two trapezoids (#1 and #2), plus the area of two smaller rectangles (#3 and #4)
see the attached figure N 2 to better understand the problem
step 1
Find the area of the two trapezoids (#1 and #2)
[tex]A=2[\frac{1}{2}(b_1+b_2)h][/tex]
simplify
[tex]A=(b_1+b_2)h[/tex]
we have
[tex]b_1=12\ yd\\b_2=4+12+4=20\ yd\\h=4\ yd[/tex]
substitute
[tex]A=(12+20)(4)=128\ yd^2[/tex]
step 2
Find the area of the two smaller rectangles (#3 and #4)
[tex]A=2[LW][/tex]
we have
[tex]L=4\ yd\\W=6\ yd[/tex]
substitute
[tex]A=2[(4)(6)]=48\ yd^2[/tex]
step 3
Find the area of the walkway around the rectangular pool
[tex]128+48=176\ yd^2[/tex]
