Question

The length and breadth of a rectangular field are in the ratio 5:3. If the cost of fencing around the field
is 4800 at the rate of 50 per metre, find the length and breadth of the field.
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Answer 1

Given -

• Length and breadth are in 5:3

• Rate of fencing per m² is ₹50 and the total cost is ₹4800

To find -

• The length and breadth of the field.

Formula used -

• Perimeter of rectangle = 2(l + b)

Solution -

Let's find the perimeter of the rectangle. To find the perimeter of the field by dividing the total cost given (₹4800) by rate given per m² (₹50)

On substituting the values -

Perimeter = $\sf\cancel{\dfrac{4800}{50}}$

$\longmapsto$ Perimeter = 96m

$\therefore$ The perimeter of the field is 96m

Now,

Let the common ratio be x

so,

5 = 5x

3 = 3x

At the end-

We will find the value of 5x and 3x by using the formula of perimeter of rectangle. then whichever value we will get we will multiply it with the 5 and 3.

On substituting the values -

96 = 2(l + b)

96 = 2(5x + 3x)m

96 = 2(8x)m

96 = 16x

x = $\sf\cancel\dfrac{96}{16}$

$\longmapsto$ x = 6m

$\therefore$ The value of x is 6m

Now placing 6 in place of x -

5x = (5 × 6) = 30m

3x = (3 × 6) = 18m

$\therefore$ The length and breadth of the field is 30m and 18m

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Answer 2

Answer:

l=30 m b=18m

Step-by-step explanation:

4800/50=96m

so perimeter=96

96=2(l+b)

96=2(5x+3x)

96=2×8x

96=16x

96/16=X

6=X

3x=6×3=18m

5x=6×5=30m