Question

Find the area and perimeter of a square plot of land, the length of whose diagonal is 15 meters. Given your answer correct to 2 places of decimals. 

Answer 1

Let a be the length of each side of the square.
Hence
2a² = ( diagonal )²

a² = `(15^2)/(2)`

a² = 112.5

a = 10.60

Hence

Area = a²
        = 112.5 sq . m

And
Perimeter = 4a = 42.43 m