Question

find the Area of
the Shaded region.
​

Answer 1

For getting area do as. i tell

FOR BIG RECTANGLE USE

LENGTH=20CM

BREDTH=10CM

NOW AREA

L×B

20×10

200CM²

FOR INSIDE RECTANGAL USE

LENGTH=18

BREDTH=8

AREA

18×8

144cm²

noe for getting shaded area

200-144cm²

56cm² is the answer

i hope you will find it helpful

Answer 2

Given :

• Dimensions of inner rectangle = 18 cm by 8 cm
• Dimensions of outer rectangle = 20 cm by 10 cm

To Find :

Area of the shaded region.

Solution :

Analysis :

First we have to find the area of the inner and outer rectangle. Then we will be subtracting both the areas to find the area of the shaded region.

Required Formula :

Area of rectangle = Length × Breadth

Explanation :

Area of outer rectangle :

We know that if we are given the length and breadth of a rectangle and is asked to find the area of the rectangle then our required formula is,

Area of outer rectangle = Length × Breadth

where,

• Length = 20 cm
• Breadth = 10 cm

Using the required formula and substituting the required values,

⇒ Area = Length × Breadth

⇒ Area = 20 × 10

⇒ Area = 200

∴ Area of outer rectangle = 200 cm².

Area of inner rectangle :

We know that if we are given the length and breadth of a rectangle and is asked to find the area of the rectangle then our required formula is,

Area of inner rectangle = Length × Breadth

where,

• Length = 18 cm
• Breadth = 8 cm

Using the required formula and substituting the required values,

⇒ Area = Length × Breadth

⇒ Area = 18 × 8

⇒ Area = 144

∴ Area of inner rectangle = 144 cm².

Area of shaded region :

☯ According to the question,

Area of shaded region = Area of outer rectangle – Area of inner rectangle

where,

• Area of outer rectangle = 200 cm²
• Area of inner rectangle = 144 cm

Substituting the values,

⇒ Area of shaded region = Area of outer rectangle – Area of inner rectangle

⇒ Area of shaded region = 200 - 144

⇒ Area of shaded region = 56

∴ Area of shaded region = 56 cm².

The area of the shaded region is 56 cm².