Question

The area of the given swimming pool is .

• A. 126.16 sq m
• B. 124.69 sq m
• C. 126.26 sq m
• D. 124.26 sq m

Answer 1

The correct option is B 124.69 sq m

The given swimming pool can be split as follows:


Rearranging the parts A1 and A2, we get:


So, the total area of the swimming pool is the sum of the areas of Rectangle A1 and the Triangle A2.

The dimensions of A1 are as follows:


We know,
Area of a rectangle
= Length $\times$ Breadth

So, area of the Rectangle A1 can be calculated as:

Area = Length $\times$ Breadth
= 15.3 m $\times$ 7.4 m
= 113.22 sq m


Now, the Triangle A2 can be shown as a half of the Rectangle R2 as follows:


We know,
Area of a triangle = $\frac{1}{2}$ $\times$ Area of a rectangle

So, Area of A2 = Area of R2 $÷$ 2
= (Length $\times$ Breadth) $÷$ 2
= (7.4 m $\times$ 3.1 m) $÷$ 2
= (22.94 sq m) $÷$ 2
= 11.47 sq m


Combining both areas, we get the total area of the swimming pool as:


So, the total area of the swimming pool is:


Hence, the area of the given swimming pool is 124.69 sq m.