Question

The length of a a regular filed is 2 it's braid if the perimeter of the file is 150 metre find the length and breadth

Answer 1

Correct Question:-

The length of a rectangular field is 2 times the breadth. If the perimeter of the field is 150 m, Find the length and breadth.

Answer:-

Let the breadth of the field be x m.

Given:

Length is twice the breadth.

→ Length = 2 * x = 2x m.

Also,

Perimeter of the field = 150 m.

We know that,

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

Hence,

→ 150 = 2(x + 2x)

→ 150 = 2 * 3x

→ x = 150/2 * 3

→ x = 25

Hence,

• Length of the field = 2x = 2(25) = 50 m.

• Breadth of the field = x = 25 m.

Answer 2

Given:

• length= 2× breadth
• Perimeter = 150m

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Need to Find:

• The length=?
• The breadth =?

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Solution:

Let The length of the field be X m and breadth be Y m

Now as given in question,

length= 2× breadth

→ $\boxed{X= 2Y -----i}$

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We know,

perimeter of rectangle = 2( length+ breadth)

→ 2×(X+Y)= 150m

→ 2× (2Y+Y) = 150m (putting X= 2Y from eq 1)

→ 2× 3Y= 150m

→ 3Y= 75m

→ $\red{Y= 25m}$

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Now

X= 2×Y

→ X= 2× 25m

→ $\red{X= 50m}$

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Thus the length= 50m and breadth= 25m