Question

the length of a rectangle is three times it's width if the length of the diagonal 15 root 10 cm then find the perimeter of the rectangle

Answer 1

Let the breadth be x and lenght be 3x,

By Pythagoras theorem,

x²+(3x)²=(15√10)²

x²+9x² =(225*10)

10x² =2250

x²=2250/10

x²=225

x=√225

x=15 cm

Now,
Lenght =3*x=3*15=45cm

Breadth =x=15 cm

Perimeter of rectangle =2(lenght +breadth)

Perimeter =2(45+15)

Perimeter =2*60

Perimeter =120 cm


I hope this will help you


-by ABHAY