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# Split the following shapes into rectangles and find their areas (The measures are given in centimetres).

**Solution:**

We will be using the area of rectangle formula to calculate the areas of the given figures.

Now,

(a) Splitting the figure into two rectangles i.e., I and II as shown in the figure below we get,

Area of rectangle I = length × breadth

= 12 cm × 2 cm

= 24 sq. cm

Area of rectangle II = length × breadth

= 8 cm × 2 cm

= 16 sq. cm

Hence, the total area of the figure is the sum of the areas of both the rectangles.

= 24 sq. cm + 16 sq. cm

= 40 sq. cm.

(b) Splitting the figure into three rectangles i.e., I, II and III as shown in the figure below we get,

Area of the rectangle I = length × breadth

= 7 cm × 7 cm

= 49 sq. cm

Area of rectangle II = length × breadth

= 21 cm × 7 cm

= 147 sq. cm

Area of rectangle III = length × breadth

= 7 cm × 7 cm

= 49 sq. cm

Hence, the total area of the figure is the sum of the areas of all three rectangles.

= 49 sq. cm + 147 sq. cm + 49 sq. cm

= 245 sq. cm.

(c) Splitting the figure into three rectangles i.e., I, II, and III as shown in the figure below we get,

Area of rectangle I = length × breadth

= 5 cm × 1 cm

= 5 sq. cm

Area of rectangle II = length × breadth

= 4 cm × 1 cm

= 4 sq. cm

Hence, the total area of the figure is the sum of the areas of both the rectangles.

= 5 sq. cm + 4 sq. cm

= 9 sq. cm.

NCERT Solutions Class 6 Maths Chapter 10 Exercise 10.3 Question 11

## Split the following shapes into rectangles and find their areas (The measures are given in centimetres).

**Summary:**

By splitting the following shapes into rectangles, we found the area of figures that is 40 sq. cm, 245 sq. cm, and 9 sq. cm respectively.

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