Question

The ratio of length and breadth of a playground is 3:2. Find the length, if breadth is 32m.

Answer 1

Step-by-step explanation:

Given, the length and breadth of a rectangle are in the ratio 3:2 respectively.

Then let the length and breadth of the rectangle be 3x,2x respectively.

If the sides of the rectangle are extended on each side by 1 m then length and breadth will be 3x+1 m and 2x+1 m.

According to the problem,

2x+1

3x+1

=

7

10

or, 20x+10=21x+7

or, x=3.

So length and breadth are 9,6 m respectively.

Now area of the rectangle be 9×6=54 m

2

.

Answer 2

Answer:

48m

Step-by-step explanation:

Given:

Ratio of length and breadth is- 3:2

Breadth= 32m

To find:

The length of the playground

Solution:

We can solve this problem by using the following steps.

• We consider the factor to be 'x'
• We then calculate the value of 'x' using the given value of breadth

1. Breadth= 2×x
2. 32=2×x
3. x=16

• Now, we calculate the length of the playground using x

1. Length=3x
2. Lenght=3×16
3. Length=48

Since Breadth is given in meters, Length will also be in meters.

Thus, Length is 48m