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.
☛ Related Questions:
- The Area Of A Rectangular Garden 50 M Long Is 300 Sq M Find The Width Of The Garden The Width Of The Garden Is 6m
- What Is The Cost Of Tiling A Rectangular Plot Of Land 500 M Long And 200 M Wide At The Rate Of Inr8 Per Hundred Sq M
- A Table Top Measures 2 M By 1 M 50 Cm What Is Its Area In Square Metres
- A Room Is 4 M Long And 3 M 50 Cm Wide How Many Square Metres Of Carpet Is Needed To Cover The Floor Of The Room