A squere shaped swimming pool with area 324 sq m has deck of uniform width 3m built around it. Find the area of the deck.
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2
side x side = 324
side = √324 = 18m
Total lenth of one side = 18 + 3 = 21
Total area = 21 x 21 = 441
Area of the deck = 441 - 324 = 117m²
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7
From the area we need to find the sides of the pool.
Area of a square = w²
This because it has equal sides.
Therefore :
w² = 324
w = √324
w = 18 m
The deck forms an outer square around the pool.
The side of the outer square is :
18 + 6 = 24 m
The area of the outer square = 24 × 24 = 576 m²
Area of the Deck = Area of outer square - area of the pool
= 576 -324 = 252 m²
= 252 m²
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