Question

the length and breadth if a rectangle are in ratio 4:3 and the diagonal measure 10cm then find the perimeter​

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