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Find the area enclosed by the following figure: - Mathematics

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Question

Find the area enclosed by the following figure:

Sum

Solution


The given shape has a triangle and a rectangle

For rectangle, l = 13 cm and b = 4 cm

∴ Area of rectangle = l × b = 13 × 4 = 52 cm2

For triangle, base (b) = 5 cm

and height (h) = (16 – 4) cm = 12 cm

∴ Area of triangle = `1/2` × b × h = `1/2` × 5 × 12 = 30 cm2

∴ Total area enclosed by the shape = (52 + 30) cm2 = 82 cm2.

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Chapter 9: Perimeter and Area - Exercise [Page 286]

APPEARS IN

NCERT Exemplar Mathematics [English] Class 7
Chapter 9 Perimeter and Area
Exercise | Q 95. | Page 286
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