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The length and breadth of a …

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The length and breadth of a rectangle are in the ratio of 4:3 if the diagnol measures 25cm than what is the perimeter of the rectangle?
  • 2 answers

Neha Mishra 5 years, 5 months ago

Kuttei

Yogita Ingle 5 years, 5 months ago

Let x be the common multiple.
Length = 4x
Breadth = 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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