Question

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

Answer 1

Answer:

340 cm^2

Step-by-step 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:

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

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

$\tt = \cfrac{1}{2} \times 1600 - \cfrac{1}{2} \times 920$

$\tt \: = 800 - 460$

$\rm = 340 \: cm {}^{2} \: or \: sq. \: cm$

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