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The length and breadth of a rectangle ar...

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

Text Solution

Verified by Experts

let breadth = `3x`
length = `4x`
by pythagoras theorem
`(4x)^2 + (3x)^2 = (25)^2 `
`16x^2 + 9x^2 = 25 xx 25`
`25x^2 = 25 xx 25`
`x= 5`
L=`4x = 4 xx5 = 20`
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