If pair of objects of rectangle are in ratio 3:4 if if diogonal is 25cm. Find the length of side and hence perimeter of rectangle
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Given length:breadth = 4:3
Let length = 4x and
breadth = 3x
Diagonal = 25 cm
Since the diagonal and the two adjacent sides of a rectangle form a right angled triangle By Pythagoras theorem,
we have
25^2 = (4x)^2 + (3x)^2
625 = 16x2 + 9x2
625= 25x^2
⇒ x^2 = 25
∴ x = 5
Hence length = 4x = 20 m and breadth = 3x = 15 m
Perimeter of rectangle = 2(length + breadth) = 2(20+15) = 70 m
Let length = 4x and
breadth = 3x
Diagonal = 25 cm
Since the diagonal and the two adjacent sides of a rectangle form a right angled triangle By Pythagoras theorem,
we have
25^2 = (4x)^2 + (3x)^2
625 = 16x2 + 9x2
625= 25x^2
⇒ x^2 = 25
∴ x = 5
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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