Question

Find the area of the shaded region . please someone help

Answer 1

Answer:

175 cm^2

Area of shaded region = Area of Rectangle - Area of Unshaded region (triangle)

Area of Rectangle = 25×14 = 350 cm^2

Area of triangle = 1/2 × 25× 14 = 175 cm^2

Hence, Required Area = 350-175= 175 cm^2

Answer 2

Answer:

The area of the Shaded Region is 175 cm².

Step-by-step explanation:

Area of the Shaded Region =

Area of $\boxed$ ABCD - Area of ∆ AEB

$\rule{300}{1.5}$

Area of $\boxed$ ABCD :

• Length = 25 cm
• Breadth = 14 cm

$\rule{300}{1.5}$

★ Area = $\boxed{\sf{Length \times Breadth}}$

$\sf{\implies} \: 25 \times 14$

$\sf{\implies} \: 350 \: {cm}^{2}$

$\rule{300}{1.5}$

Area of ∆ AEB :

• Height = 14 cm
• Base = 25 cm

★ Area = $\boxed{\sf{\frac{1}{2} \times Base \times Height}}$

$\sf{\implies} \: \dfrac{1}{2} \times 25 \times 14$

$\sf{\implies} \: 25 \times 7$

$\sf{\implies} \: 175 \: {cm}^{2}$

$\rule{300}{1.5}$

Area of the Shaded Region :

• Area of $\boxed$ ABCD = 350 cm²
• Area of ∆ AEB = 175 cm²

$\sf{\implies} \: 350 - 175 \\ \sf{\implies} \: 175$

$\therefore$ The area of the Shaded Region is 175 cm².