Question

the breadth of a rectangular sheet is half of its diagonal.What is the ratio of its length to its breadth​

Answer 1

Answer:

Given length and breadth of a rectangle are in the ratio 4:3.4:3. 

And diagonal =25cm=25cm

Let ratio in multiple of xx i.e., 4x4x and 3x3x

According to the Pythagoras theorem we can write as

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

16x2+9x2=62516x2+9x2=625

x2=625/25=25x2=625/25=25

x=5x=5

Length =20cm=20cm

Breath =15cm=15cm

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

Answer 2

Answer:Given length and breadth of a rectangle are in the ratio 4:3.4:3.  

And diagonal =25cm=25cm

Let ratio in multiple of xx i.e., 4x4x and 3x3x

According to the Pythagoras theorem we can write as

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

16x2+9x2=62516x2+9x2=625

x2=625/25=25x2=625/25=25

x=5x=5

Length =20cm=20cm

Breath =15cm=15cm

Perimeter =2(l+b)=2(20+15)=2()35=70cm=2(l+b)=2(20+15)=2()35=70cm4:3.

Step-by-step explanation: