Question

The length of rectangular field is twice its breadth if permiter of the field is 42 m find its length and breadth

Answer 1

Given :

• The length of rectangular field is twice its breadth.

• Perimeter of the rectangular field = 42 m.

To find :

• Its Length and Breadth =?

Step-by-step explanation :

Let, the breadth of the rectangular field be x.

Then, the length of the rectangular field be 2x.

Perimeter of the rectangular field = 42 m. [Given]

As We know that,

Perimeter of rectangle = 2(length + breadth)

Substituting the values in the above formula, we get,

➮ 42 = 2(x + 2x)

➮ 42 = 2(3x)

➮ 42 = 6x

➮ x = 42/6

➮ x = 7.

Therefore, We got the value of, x = 7.

Hence,

Breadth of the rectangular field, x = 7 m.

Length of the rectangular field, 2x = 2 × 7 = 14 m

Answer 2

★ QUESTION :

The length of the rectangular field is twice its breadth, if perimeter of the field is 42 m. Find its length and breadth.

GIVEN :

• The length of the rectangular field = ×2 (Breadth)

• Perimeter of the field = 42 m

TO FIND :

• The length of the rectangular field = ?
• The breadth of a rectangular field = ?

STEP-BY-STEP EXPLAINATION :

First of all here, we have to find the length and breadth of the rectangular field , considering here :

• Length = (×2 breadth)
• Breadth = x
• Perimeter = 42 m

➠ Perimeter = 2 × (l + b)

Substituting here the value, as per the given formula :

⟹ Perimeter = 2 × (l+b)

⟹ 42 = 2 × (2x + x)

⟹ 42 = 2 × (3x)

⟹ 42 = 6x

$⟹ x = \frac{42}{6} = 7$

⟹ x = 7

So, here we got the Breadth of the rectangular field = 7m

Now, here we will have to find length of the rectangle :

so as we know here (GIVEN that) :

• The length of the rectangular field = 2x

Applying here the formula, as per the ask question :

ㅤㅤㅤㅤㅤㅤㅤ⟹ 2x = 2 × Breadth = Length

Substituting here, the value as per the given formula :

ㅤㅤㅤㅤㅤㅤㅤ➠ 2x = 2 × Breadth = Length

ㅤㅤㅤㅤㅤㅤㅤ➠ 2x = 2 × 7 = 14

Therefore, length of the the rectangular field = 14 m