Question

A 300 m long wire is used to fence a rectangular plot whose length is twice its width. Find

the length and breadth of the plot.​

Answer 1

Answer:

Length of the plot=100m

Width of the plot=50 m

Step-by-step explanation:

Given:-

A 300 m long wire is used to fence a rectangular plot whose length is twice its width.

To find:-

Find the length and breadth of the plot.

Solution:-

Let the width of the rectangular plot be

W m

Then length=twice the width

Length=2W m

Perimeter of the rectangle =2(l+b) units

Perimeter of the rectangular plot =2(2W+W) m

=>P=2(3W)

=>P=6W m

according to the given problem

A 300 m long wire is used to fence a rectangular plot

=>Perimeter=300 m

=>6W=300

=>W=300/6

=>W=50 m

2W=2×50=100m

Answer:-

Length of the plot=100m

Width of the plot=50 m

Answer 2

Answer :-

• Length and breadth are 100m and 50m respectively.

Given :-

• A 300 m long wire is used to fence a rectangular plot whose length is twice its width.

To Find :-

• Length and breadth of the plot.

Solution :-

Let

• Breadth of the rectangular plot be x
• Length of the rectangle plot will be 2x

→ 300m long wire is used to fence the rectangular plot

So,

Perimeter is 300m

As we know that

Perimeter of the rectangle is

2 (l + b)

Where

• l = length
• b = breadth

According to question :-

⇒ 2 (2x + x) = 300

⇒ 2x + x = 300/2

⇒ 2x + x = 150

⇒ 3x = 150

⇒ 150/3

⇒ x = 50

Now

• Breadth = x = 50m
• Length = 2x = 2 × 50 = 100m

Hence, the length and breadth of the rectangular plot are 100m and 50m respectively.