Question

12 yds

How many square yards of cement are needed to create
the walkway around the rectangular pool?
4 yds
12 yds
w
176 square yards
196 square yards
208 square yards
280 square yards
4 yds
4 yds
6 yds
6 yds
Pool
6 yds
yds
12 yds
4 yds
12 yds

Answer 1

176 sq yards

Explanation:

Answer 2

176 square yards

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)

`A=2[(1)/(2)(b_1+b_2)h]`

simplify

`A=(b_1+b_2)h`

we have

`b_1=12\ yd\\b_2=4+12+4=20\ yd\\h=4\ yd`

substitute

`A=(12+20)(4)=128\ yd^2`

step 2

Find the area of the two smaller rectangles (#3 and #4)

`A=2[LW]`

we have

`L=4\ yd\\W=6\ yd`

substitute

`A=2[(4)(6)]=48\ yd^2`

step 3

Find the area of the walkway around the rectangular pool

`128+48=176\ yd^2`