Question

The cross section of a swimming pool is in the shape of a trapezium. The swimming pool is 16m wide at the top and 12m wide at the bottom, and the area of cross section is 112m square. Find the depth of the pool

Answer 1

area of trapezium= 1/2(b1+b2) altitude
112= (1/2)(12+16)* altitude
224= 28 *altitude
altitude= 8 m
so 8m is the depth of given swimming pool....

Answer 2

Depth of pool = 8 m  

Step-by-step explanation:

The cross section of a swimming pool is in the shape of a trapezium.

Area of Trapezium = (1/2) ( Sum of Parallel sides) * height

The swimming pool is 16m wide at the top and 12m wide at the bottom,

area of cross section is 112m square.

Here depth of pool = Height

=> (1/2) ( 16 + 12) * Height = 112

=> 28 * height = 224

=> height = 8 m

Depth of pool = 8 m

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