Question

Please solve the attached
Find the area of shaded region.​

Answer 1

340 cm^2

Explanation:

Given:

Figure

To Find:

Area of the shaded region

Solution:

Area of shaded region:

`\rm= Area \: of \: trapezium \: ABCD - Area \: of \: Trapezium \: EHGF`

We know that,

`\rm \: Trapezium = 1/2 × (a+b)×h \: \: \: sq. units`

So,

`\rm = 1/2 × (a+b)×h \: \: \: - 1/2 × (a+b)×h`

Trapezium ABCD:

According to the formula,

• a =40
• b=24
• h = 25

Trapezium EHGF:

• a = 30
• b = 16
• h = 20

Substitute:

`\tt= \cfrac{1}{2} (40 + 24) * 25 - \cfrac{1}{2} (30 + 16) * \: 20`

`\tt= \cfrac{1}{2} (64) * 25 - \cfrac{1}{2} (46) * \: 20`

`\tt = \cfrac{1}{2} * 1600 - \cfrac{1}{2} * 920`

`\tt \: = 800 - 460`

`\rm = 340 \: cm {}^(2) \: or \: sq. \: cm`

Thus, the area of the shaded region will be 340 cm^2 .