By splitting the following figures into rectangles, find their areas (The measures are given in centimetres).
Solution:
We will be using the area of rectangle formula to calculate the areas.
(a) Now, splitting the figure into I, II, III and IV rectangles as shown in the figure below we get,
Here, area of rectangle I = length × breadth
= 4 cm × 3 cm
= 12 sq. cm
Area of rectangle II = length × breadth
= 3 cm × 2 cm
= 6 sq. cm
Area of rectangle III = length × breadth
= 4 cm × 1 cm
= 4 sq. cm
Area of rectangle IV = length × breadth
= 3 cm × 2 cm
= 6 sq. cm
Now, add up the areas of all the four rectangles to get the area of the whole figure
= 12 sq. cm + 6 sq. cm + 4 sq. cm + 6 sq. cm
= 28 sq. cm.
Therefore, the total area of figure (a) is 28 sq. cm.
(b) Similarly, splitting the figure (b) into I, II, and III rectangles as show in the figure below we get,
Area of rectangle I = length × breadth
= 3 cm × 1 cm
= 3 sq. cm
Area of rectangle II = length × breadth
= 3 cm × 1 cm
= 3 sq. cm
Area of rectangle III = length × breadth
= 3 cm × 1 cm
= 3 sq. cm
Now, add up the areas of all the three rectangles to get the area of the whole figure
The total area of the figure = 3 sq. cm + 3 sq. cm + 3 sq. cm = 9 sq. cm.
Therefore, the total area of figure (b) is 9 sq. cm.
NCERT Solutions for Class 6 Maths Chapter 10 Exercise 10.3 Question 10
By splitting the following figures into rectangles, find their areas (The measures are given in centimetres).
Summary:
By splitting the following figures into rectangles, we have found the area of both the figures as 28 sq. cm and 9 sq. cm respectively.
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