) Find the perimeter of a rectangle whose length is 20 c.m and a diagonal is 25 c.m
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Answer:
Length of rectangle = 20cm (l)
diagonal of rectangle = 25cm (d)
Step-by-step explanation:
On using Baudhayan Theorum,
l^2 + b^2 = d^2,
where,
l - length of rectangle
b - breadth of rectangle
d - diagonal of rectangle
Therefore,
=> (20cm)^2 + b^2 = (25cm)^2
=> 400 sq. cm + b^2 = 625 sq. cm
=> b^2 = ( 625 - 400 )sq.cm
=> b^2 = 225 sq. cm
=> b = Square root of 225 sq.cm
=> b = 15cm
Thereby,
Perimeter of rectangle = 2(l+b)
=> 2 × ( 20cm + 15cm )
=> 2 × 35cm
=> 70cm
Hence,
Perimeter of rectangle is 70cm.
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