Question

The ratio of the length of a rectangle to its breadth is 3:2. The perimeter of the rectangle is 50 cm. What is the length of the rectangle?

Answer 1

Step-by-step explanation:

As length and width are in the ratio of

3

:

2

, let these be

3

x

and

2

x

then perimeter is

2

×

(

3

x

+

2

x

)

=

2

×

5

x

=

10

x

Hence

10

x

=

50

or

x

=

50

10

=

5

c

m

.

and length is

3

×

5

=

15

c

m

.

and width is

2

×

5

=

10

c

m

.

Answer 2

Answer:

length = 15 breadth = 10

Step-by-step explanation:

l to b = 3:2.

let the length be 3x

let the breadth be 2x

According to the question

Perimeter of Rectangle = 2(l+b)

50=2(3x+2x)

50=2×5x

50=10x

50/10=x

5=x

x=5

So

Length = 3x = 3×5 =15

Breadth=2x= 2×5=10

CHECK

2(l+b) =50

2(15+10) =50

2×25=50

50=50

So the answer is correct