Question

The ratio of length to breadth to a rectangular held is 93. If the perimeter of the field is 320m, findits
length and breadth.​

Answer 1

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Answer 2

Answer:

The length and breadth of a rectangular field are 12 cm and 4 cm respectively.

Step-by-step explanation:

Given:

• The ratio of length to breadth of a rectangular field is 9:3.
• The perimeter of a rectangular field = 320 m

To find:

• The length and breadth of a rectangular field.

Solution:

First we will assume the length and breadth of a rectangular field as 9x and 3x respectively. As we are already provided with the perimeter of a rectangle, so by using formula of perimeter of rectangle we will find the value of x. Putting the values in the formula and then doing required calculations. After that we will substitute the value of x in both length and breadth respectively, to find out the length and breadth of a rectangular field.

Let's find out...

Let the length and breadth of a rectangular field be 9x and 3x respectively.

✰ Perimeter of a rectangle = 2( length + breadth )

Putting the values in the formula, we have:

• 320 = 2(9x + 3x)
• 320/20 = 9x + 3x
• 160/10 = 12x
• 16 = 12x
• x = 16/12

Now find out length and breadth of a rectangular field by substituting the value of x.

• Length of a rectangular field = 9 × 16/12
• Length of a rectangular field = 3 × 16/4
• Length of a rectangular field = 3 × 4
• Length of a rectangular field = 12 cm

• Breadth of a rectangular field = 3 × 16/12
• Breadth of a rectangular field = 16/4
• Breadth of a rectangular field = 4 cm

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