Question

a pair of adjacent sides of a rectangle are in the ratio of 3:4 if the diagonal is 20 cm find the length of the sides and his the perimeter of the rectangle...NEED HELP WITH PROCESS..

Answer 1

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
252 = (4x)2 + (3x)2
625 = 16x2 + 9x2 = 25x2
⇒ x2 = 25
∴ x = 5
Hence length = 4x = 20 m and breadth = 3x = 15 m
Perimeter of rectangle = 2(length + breadth)
                                    = 2(20+15) = 70 m

Answer 2

Here!!! is your answer...