Question

7. The length of a rectangular field is 4 times its breadth. If the perimeter of the field is 48 m, find its length and breadth.

Answer 1

Answer:

Breadth = 4.8 m

Length = 19.2 m

Step-by-step explanation:

As per the provided information in the given question, we have :

• Length of the rectangular field, l = 4 times its breadth
• Perimeter of the rectangular field, P = 48 m

We've been asked to calculate the length and breadth of the rectangular field.

Let the breadth of the rectangular field be b. Henceforth, Length = 4b as the length of the rectangular field is 4 times its breadth.

Now, here will use the formula of the perimeter of the rectangle as an equation and will find the value of b and l respectively. We know that,

⠀⠀⠀⠀★ Perimeter of Rectangle = 2(l + b)

• l denotes length
• b denotes breadth

$\longrightarrow\sf{48 = 2(l + b)}$

$\longrightarrow\sf{48 = 2(4b + b)}$

$\longrightarrow\sf{48 = 2(5b)}$

$\longrightarrow\sf{48 = 10b}$

$\longrightarrow\sf{\cancel{\dfrac{48}{10}} = b}$

$\longrightarrow\underline{\boxed{\textbf{\textsf{4.8 \; m = b}}}}$

Therefore, breadth of the field is 4.8 m.

Now, as length is 4 times its breadth. So,

$\longrightarrow\sf{l = 4b}$

$\longrightarrow\sf{l = 4(4.8) \; m}$

$\longrightarrow\underline{\boxed{\textbf{\textsf{l = 19.2 \; m}}}}$

Therefore, length of the field is 19.2 m.

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Answer 2

Answer:

The length and the breadth of the rectangle field will be 19.2 m and 4.8 m respectively

Step-by-step explanation:

Here it is given that the length of a rectangular field is 4 times its breadth.

length = 4 (breadth)

Also, the perimeter of the field is given to be 48 m

We have to find the length and breadth

so, perimeter = 2 ( length + breadth )

48 = 2 {4(breadth)+ breadth }

24 = 5(breadth)

breadth = 24/5

breadth = 4.8

so, Length = 4(breadth)

length = 4 × 4.8

length =19.2 m