Question

the length and breadth of a rectangle are in the ratio 4:3.
if the diagonal measure 25cm then find the perimeter of rectangle .​

Answer 1

Answer:

70cm

Step-by-step explanation:

let the length and breadth be 4x and 3x respectively.

by pythagoras theorem,

(4x)^2 +(3x)^2= 25^2

16x^2 + 9x^2 = 625

25 x^2 =625

   x^2 = 625/25=25

  x=5

peimeter =2(l+b)= 2(4*5 + 3*5)

              = 2*35=70

Answer 2

Given length and breadth of a rectangle are in the ratio 4:3

And diagonal= 25 cm

Let ratio in multiple of x i.e. 4x and 3x

According to the Pythagoras theorem we can write as

(4x)2+(3x)2=252

16x2+9x2=625

25x2=625

X2=625/25=25 x=5

Length = 20 cm

Breadth = 15 cm

Perimeter= 2(l +b) = 2(20+15) = 2(35) = 70 cm