Question

The length and breadth of a rectangle in the ratio 4:3 if diagonal measure 25 find the perimeter of rectangle

Answer 1

Answer:

answer is 70 cm

Step-by-step explanation:

Let x be the common multiple.

Length = 4x

Breadth = 3x

According to Pythagoras theorem,

(4x)²+(3x)²=(25)²

16x²+9x²=625

25x²=625

x²=625/25

X =5

So,

Length = 4x = 20 cm

Breadth = 3x = 15 cm

Perimeter = 2(l×b)

= 2 (20 + 15)

= 70 cm

So, perimeter of rectangle is 70 cm.

Answer 2

Answer:

Let length be 4x and breadth be 3x

By Pythagoras theorum,

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

16x^2 + 9x^2 = 625

x^2 = 625/25

x = underroot 25 = 5

length = 20

breadth = 15

perimeter = 70