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Q)

The length and breadth of a rectangle are in the ratio 4:3.and the diagonal

The length and breadth of a rectangle are in the ratio 4:3.and the diagonal measues 10 cm, then it's perimeter

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A)

Given length:breadth = 4:3
Let length = 4x and breadth = 3x
Diagonal = 10 cm
Since the diagonal and the two adjacent sides of a rectangle form a right angled triangle
By Pythagoras theorem, we have
102 = (4x)2 + (3x)2
100 = 16x2 + 9x2 = 25x2
⇒ x2 = 4
∴ x = 2
Hence length = 4x = 20 m and breadth = 3x = 15 m
Perimeter of rectangle = 2(length + breadth)
                                    = 2(20+15) = 70 m

 

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