By splitting the following figures into rectangles, find their areas (The measures are given in centimetres).
Mensuration
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Question

By splitting the following figures into rectangles, find their areas (The measures are given in centimetres).

KnowledgeBoat · Accepted Answer

(i) Splitting the U-shape figure into three rectangles: Rectangle DEFG: length = 5 cm, breadth = 1 cm Area = 5 × 1 = 5 sq. cm Rectangle JIHG: length = 2 cm, breadth = 1 cm Area = 2 × 1 = 2 sq. cm Rectangle ABCD: length = 2 cm, breadth = 1 cm Area = 2 × 1 = 2 sq. cm Total area of figure (i) = 5 + 2 + 2 = 9 sq. cm Hence, the area of figure (i) is 9 sq. cm. (ii) Splitting the figure: As, LC = 4 and EM = 3 = FD = LF + LD IF + FL = JK = 3 HG = IF = 2 2 + FL = 3 Therefore, FL = 1 Now, LC = 4, FL + LD = 3 LD = 2 LD + DC = 4 2 + DC = 4 DC = 2 Rectangle ABCD: length = 2 cm, breadth = 4 cm Area = 2 × 4 = 8 sq. cm Rectangle HIGF: length = 2 cm, breadth = 1 cm Area = 2 × 1 = 2 sq. cm Square MEFD: length = 3 cm, breadth = 3 cm Area = 3 × 3 = 9 sq. cm Rectangle IJKL: length = 3 cm, breadth = 3 cm Area = 3 × 3 = 9 sq. cm Total area of figure (ii) = 8 + 2 + 9 + 9 = 28 sq. cm Hence, the area of figure (ii) is 28 sq. cm.

Mathematics

By splitting the following figures into rectangles, find their areas (The measures are given in centimetres).

Mensuration

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Mathematics

By splitting the following figures into rectangles, find their areas (The measures are given in centimetres).

Mensuration

Related Questions

If the cost of fencing a square plot at the rate of ₹ 30 per metre is ₹ 2400, then find the length of each side of the field.

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How many envelopes of size 25 cm × 15 cm can be made from a rectangular sheet of size 4 m × 1.2 m?

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The perimeter of a rectangle is 36 cm. What will be length and breadth (in natural numbers) of that rectangle whose area is
(i) maximum?
(ii) minimum?