Question

The length and breadth of a rectangle are is the ratio 4:3. If the diagonal measures 25 cm,
find the perimeter of the rectangle.

Answer 1

Answer:

70 cm

Step-by-step explanation:

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=25^2

16x^2+9x^2=625

25x2=625

X^2=625/25=25

x=5

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

Answer 2

14cm

Step-by-step explanation:

let length of rectangle=4x

breadth =3x

d=√l^2+√b^2

25=√4x^2+√3x^2

25=16x^2+9x^2

25=25x^2

x=1. length be 4x=4*1=4cm and breadth=3cm

now perimeter of rectangle =2(l+b)

=2(4+3)

=14cm