Question

the length and breadth of a rectangular field are in the ratio 5:3 if its perimeter is 128 metre find the dimensions of the field??
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Answer 1

Answer:

40 m and 24 m.

Step-by-step explanation:

Let the ratio be 5x:3x.

Perimeter of rectangle = 2(l+b)

Given Perimeter = 128 m

=> 2(5x+3x) = 128

=> 8x = 128/2

=> 8x = 64

=> x = 8

Hence, the dimensions of the field are 40 m and 24 m.

Answer 2

Answer :

• Length = 40m
• Breath = 24m

S O L U T I O N :

Given,

• The length and breadth of a rectangular field are in the ratio 5:3.
• It's Perimeter is 128 m.

To Find,

• The dimensions of the rectangular field.

Explanation,

Given, the length and breadth of a rectangular field are in the ratio 5:3.

Let,

• Length of a rectangular field be 5x.
• Breadth of a rectangular field be 3x.

Given, It's perimeter is 128m.

We know that,

Perimeter of a rectangular field = 2(l + b)

⇒ 128 = 2(5x + 3x)

⇒ 128 = 2(8x)

⇒ 128 = 16x

⇒ x = 128/16

⇒ x = 8

Now,

The length of a rectangular field = 5x

⇒ 5 × 8

⇒ 40 m

The breadth of a rectangular field = 3x

⇒ 3 × 8

⇒ 24 m

Therefore,

The dimensions of the rectangular field is 40 m and 24 m respectively.