Question

Two adjacent sides of a rectangle are in the ratio 5 : 3. If its perimeter is 64cm, then the length and breadth of the rectangle are

Answer 1

Answer:

- 20,12,20,12.

Step-by-step explanation:

Let one side be 5x and another side is 3x so opposite sides must be 5x and 3x because it's a parallelogram and thus opposite sides are same

Perimeter = sum of all side

64=5x+3x+5x+3x

64=16x

x=4

So sides of parallelogram are 20,12,20,12.

by Arif Hassan

Answer 2

Step-by-step explanation:

Given :-

Two adjacent sides of a rectangle are in the ratio 5 : 3.Its perimeter is 64cm.

To find :-

Find the length and breadth of the rectangle ?

Solution :-

Given that :

The ratio of two adjacent sides of a rectangle = 5:3

Let they be 5X cm and 3X cm

In a rectangle the adjacent sides are its length and breadth

Length of the rectangle (l) = 5X cm

Breadth of the rectangle (b) = 3X cm

We know that

Perimeter of a rectangle (P) = 2(l+b) units

On Substituting these values in the above formula then

=> Perimeter of the given rectangle

=> P = 2(5X+3X) cm

=> P = 2(8X) cm

=> P = 16X cm

According to the given problem

Perimeter of the rectangle = 64cm.

=> 16X = 64

=> X = 64/16

=>X = 4 cm

If X = 4 cm then 5X = 5×4 = 20 cm

If X = 4 cm then 3X = 3×4 = 12 cm

Length = 20 cm

Breadth = 12 cm

Answer:-

Length of the rectangle = 20 cm

Breadth of the rectangle = 12 cm

Check:-

Length = 20 cm

Breadth = 12 cm

Their ratio = 20:12

=> 20/12

=> (5×4)/(3×4)

=> 5/3

=> 5:3

and

Perimeter of the rectangle = 2(l+b) units

=> P = 2(20+12) cm

=>P = 2(32) cm

=> P =64 cm

Verified the given relations in the given problem.

Used formulae:-

• Perimeter of the rectangle = 2(l+b) units

• l = length of the rectangle

• b = breadth of the rectangle