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in Perimeter and Area of Plane Figures by (37.8k points)
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The central hail of a school is 18m long and 12.5 m wide. A carpet is to be laid on the floor leaving a strip 50 cm wide near the walls, uncovered. Find the area of the carpet and also the uncovered portion?

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Best answer

Given

Length of the hail = 18m

Breadth of the hail 12.5m

Width of the strip = 50cm = 1/2 m

Length of inner rectangle = 18 – (1/2 + 1/2) 17m

Breadth of inner rectangle = 12.5 – (1/2 + 1/2) = 11.5 m

Area of the strip = (Area of the outer fIgure) – (Area of the inner figure)

= 18 × 12.5 – 17 ×11.5

= 225 – 195.5 = 29.5 m2

∴ Area of the carpet = 195.5 m2

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