A square garden has area 24686.6944 $m^{2}$ . A trench of one meter wide has to be dug along the boundary inside the garden. After digging the trench, what will be the area of the left out garden?

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Solution

Area of the square garden is 24686.6944m²
Area of square = (side)²
24686.6944= (side)²
Side = 157.12
Length of a side of the garden the is 24686.6644in 157.12m.
If a trench of one meter is dug along the boundary inside the garden the length of a side of the garden will be (157.12-2) m. = 155.12m.
The area of the remaining garden is (155.12) = (side)²
= (155.12)²
= 24062.2144m²

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