Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

how many square yards of cement are needed to create the walkway around…

Question

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

Explanation:

Step1: Calculate the length of the outer rectangle

The length of the outer rectangle \(l = 12+4 + 4=20\) yds.

Step2: Calculate the width of the outer rectangle

The width of the outer rectangle \(w=6 + 4+6=16\) yds.

Step3: Calculate the area of the outer rectangle

The area of the outer rectangle \(A_{outer}=l\times w=20\times16 = 320\) square yds.

Step4: Calculate the area of the pool

The area of the pool \(A_{pool}=12\times12 = 144\) square yds.

Step5: Calculate the area of the walk - way

The area of the walk - way \(A = A_{outer}-A_{pool}=320 - 144=176\) square yds.

Answer:

176 square yards