The area of the shaded area is

January 20, 2023 Quiz 2 Views

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The area of the shaded area is

Answer :

is the area of the shaded region 420cm² (C)

In this problem we will study the area of a simple flat shape

Formula :

Wide rectangle length = length x width

Area of triangle = $\\frac{1}{2}$ x base x height

Detailed explanation of Rectangle Area Problems

Is known :

Rectangular :

length = 32 cm

width = 15 cm

Right triangle :

base = 16 cm

height = 7.5 cm

Asked:

The area of the shaded region?

Answered:

To find the area of the shaded region, we first calculate the area of the entire rectangle, then subtract the area of the right triangle.

Rectangular :

length = 32 cm

width = 15 cm

Area of rectangle = length x width

= 32 x 15

= 480 cm²

Right triangle :

base = 16 cm

height = 7.5 cm

Area of triangle = $\\frac{1}{2}$ x base x height

= $\\frac{1}{2}$ x 16 x 7.5

= 60 cm²

= Area of rectangle – Area of right triangle

= 480 – 60

= 420 cm²

So the shaded area is 420 cm² (C)

Question Details

Class : V

Course : Mathematics

Chapter : Chapter 3 – Area of a simple flat shape

Keywords : area of shaded region, area of rectangle, area of triangle

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