Question

The length and breadth of a rectangle are in the ratio 4:3 .If the diagonal measures 25 cm .Find the perimeter of rectangle


SOLUTION:

Let the Length be 4x
Let the Breadth be 3x
According to Pythagoras theorem,
(4x)²+(3x)²=(25)²
16x²+9x²=625
25x²=625
x²=625/25
X =5
So,
Length = 4x = 20 cm
Breadth = 3x = 15 cm
Perimeter = 2(l×b)
= 2 (20 + 15)
= 70 cm

So, perimeter of rectangle is 70 cm.
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Answer 1

perimeter of rectangle is 70 cm