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Option 3 : Rs. 4096
Given:
Area of square = 64 m2
Length of field = 8√2 of square diagonal
Formula used:
Area of square = (side)2
Diagonal of square = √
Area of rectangular field = length × breadth
Calculation:
Area of square = 64
⇒ (side)2 = 64
⇒ side = 8 cm
Diagonal = √ = 8√2 cm
⇒ Length of rectangular field = 8√2 × 8 √2
⇒ 128 cm
Breadth of rectangular field = 128 × (1/2) = 64 cm
⇒ Area of field = 128 × 64
⇒ 8192 cm2
∴ Rate of paving the rectangular field is Rs. 4096 i.e. (8192 × 0.5)
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