one side of a rectangular garden is 48m and it's diagonal is 50m long . find the area and perimeter of the garden.
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Let the other side be x.
According to Pythagoras Theorem,
(Base)² + (Height)² = (Diagonal)²
=> (48)² + (x)² = (50)²
=> 2304 + x² = 2500
=> x² = 2500 - 2304
=> x² = 196
=> x = 14
Perimeter = 2(l+b) = 2(48+14) m = 2(62) m = 124 m
Area = l×b = 48×14 m² = 672 m²
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