**Question 1**

The length and the breadth of a rectangle are in the ratio 3 : 5. If its perimeter is 32 m, find its dimensions?

**Explanation**

Let, length and breadth be 3y m and 5y m

Since, perimeter of rectangle = 2 (l+b) units

= 2 ( 3y + 5y ) m

= ( 2 x 8y ) m

= 16y m

But, perimeter of rectangle = 32 m

Since, 16y = 32

y = 32/16

y = 2

So, length = ( 3 x 2 ) m = 6 m

breadth = ( 5 x 2 ) m = 10 m

**Question 2**

The length and the breadth of a rectangle are in the ratio 4 : 5. If its perimeter is 3 m 60 cm, find its dimensions?

**Explanation**

Let, length and breadth be 4y cm and 5y cm

Since, perimeter of rectangle = 2 (l+b) units

= 2 ( 4y + 5y ) cm

= ( 2 x 9y ) cm

= 18y cm

But, perimeter of rectangle = 3 m 60 cm = 360 cm

Since, 18 y = 360

y = 360/18

y = 20

So, length = ( 4 x 20 ) cm = 80 cm

breadth = ( 5 x 20 ) cm = 100 cm

**Learn More…**

- Perimeter of Rectangle
- Perimeter of Square
- Perimeter of Triangle
- Perimeter of Equilateral Triangle
- Perimeter of regular pentagon
- Perimeter of regular octagon
- Perimeter of regular decagon
- Area of Rectangle
- Area of Square
- Circumference of a Circle
- Finding Diameter of a circle when circumference is given
- Finding Radius of a circle when circumference is given
- Finding Perimeter of Rectangle when Area & Breadth given
- Finding Perimeter of Rectangle when Area & Length given
- Find the cost of fencing of a rectangular field
- Find the cost of carpeting the room