find the area and perimeter of a square plot of land whose diagonal is 15m. give your answer correct to two decimals
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We know the formula,
Diagonal = √2a ; where a refers to the side of the square
On squaring both sides,
(Diagonal)² = (√2a)²
(Diagonal)² = 2a²
(15)² = 2a²
225 =2a²
225/2 = a²
112.5 = a²
a = √112.5
Therefore,
a = 10.60m
Hence,
Area of the square = a²
= (10.60)²
= 112.5m² .......... Answer
Perimeter = 4a
= 4×10.60
= 42.43m........... answer
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