A door is to be made with a special floral designed wood with a cat door of 25 cm × 25 cm that is to be covered by a special cloth. The cost of the wood is Rs. 500/m2. If the shape of the door is as shown in the figure, find the total cost of wood required.

A door is to be made with a special floral designed wood with a cat door of 25 cm × 25 cm that is to be covered by a special cloth. The cost of the wood is Rs. 500/m2. If the shape of the door is as shown in the figure, find the total cost of wood required. Correct Answer Rs. 1611.25

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Area of the cat door = 25 × 25 cm2 = 625 cm2 = 0.0625 m2

Area of the door including the cat door = 2.5 × 1 + π × (0.5)2 m2 = 3.285 m2

Area of wood required = 3.285 - 0.0625 m2 = 3.2225 m2

Rate of wood = Rs. 500/m2

∴ Total cost of wood = Rs. 500 × 3.2225 = Rs. 1611.25

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