CBSE Class 6 Mathematics Question 22 of 34

Perimeter and Area — Question 22

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22
Question
Find the areas of the figures below by dividing them into rectangles and triangles.
Answer

(a) Figure have 20 full rectangles + 4 more than half rectangles + 4 less than half rectangles
= 20 × 1 + 4 × 1 + 4 × 0
= 20 + 4
= 24 sq. units
(b) Figure have 24 full rectangles, 2 half rectangles, 3 more than half and 3 less than half
∴ Area of figure = 24 + 1 + 2 × \(\frac{1}{2}\) + 3 × 1 + 3 × 0
= 24 + 1 + 3 + 0
= 28 sq. units
(c) Figure have 36 full rectangles, 2 half rectangles, 9 more than half, and 10 less than half rectangles
∴ Area of figure = 36 × 1 + 2 × \(\frac{1}{2}\) + 9 × 1 + 10 × 0
= 36 + 1 + 9 + 0
= 46 sq. units.
(d) Figure have 13 full rectangles, 1 half, 2 more than half and 2 less than half.
∴ Area of figure = 13 × 1 + 1 × \(\frac{1}{2}\) + 2 × 1 + 2 × 0
= 13 + 0.5 + 2
= 15.5 sq. units
(e) Figure have 5 full rectangles, 5 half, 3 more than half and 4 less than half.
∴ Area of figure = 5 × 1 + 5 × \(\frac{1}{2}\) + 3 × 1 + 4 × 0
= 5 + 2.5 + 3
= 10.5 sq. units
6.3 Area of A Triangle Figure it Out (Page 149)