Question

Find the area of a green shaded region in the figur

Answer 1

The answer is 156cm^2

Explanation:

Solution:

The shape given is a trapezium.

The area of the green region = Area of the outer trapezium - Area of the inner trapezium.

`Area\: of\:a\:trapezium\:=(1)/(2)\:(a+b)h`

`Where\: a,b\:are\:the\:bases,\:h=height`

`For,\:outer\:trapezium,`

`a=10cm,\:b=14cm,h=16cm`

`Area\:of\:the\:outer\:trapezium=(1)/(2)\:(10+14)16`

`=(1)/(2)(24)(16)=192cm^(2)`

`For\:inner\:trapezium,`

`a=3cm,b=6cm,h=8cm`

`Area\:of\:the\:inner\:trapezium=(1)/(2)(3+6)8`

`=(1)/(2)(9)(8)=36cm^(2)`

`193cm^(2)-36cm^(2)`

`=156cm^(2)`

The answer is 156cm^2