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

Explanation

(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 `xx` breadth
`= 12 cm xx 2 cm`
`= 24 sq. cm`
Area of rectangle II = length `xx` breadth
`= 8 cm xx2 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` xx` breadth
`= 7 cm × 7 cm`
`= 49 `sq. cm
Area of rectangle II = length `xx` breadth
`= 21 cm xx 7 cm`
`= 147 `sq. cm
Area of rectangle III =length `xx` breadth
`= 7 cm xx 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 `xx` breadth
`= 5 cm xx 1 cm`
`= 5 `sq. cm
Area of rectangle II = length `xx` breadth
`= 4 cm xx 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.