Question

A rectangular plot has 17 m length and 14 m width. What will be the cost of fencing at a rate of Rs. 25 per metre ?​

Answer 1

Given :

• Length of rectangular plot is 17 m and width is 14 m .

To Find :

• Cost of fencing the plot at the rate of Rs. 25 per m .

Solution :

$\longmapsto\tt{Length(l)=17\:m}$

$\longmapsto\tt{Breadth(b)=14\:m}$

Firstly we'll find the Perimeter :

Using Formula :

$\longmapsto\tt\boxed{Perimeter\:of\:Rectangle=2(l+w)}$

Putting Values :

$\longmapsto\tt{2(17+14)}$

$\longmapsto\tt{2(31)}$

$\longmapsto\tt\bf{62\:m}$

Now ,

Cost of fencing the plot at the rate of Rs. 25 per m :

$\longmapsto\tt{62\times{25}}$

$\longmapsto\tt\bf{Rs.1550}$

So , The Cost of fencing the plot at the rate of Rs. 25 is Rs. 1550 .

Answer 2

Question:

• A rectangular plot has 17 m length and 14 m width. What will be the cost of fencing at a rate of Rs. 25 per metre?

Answer:

• Cost of fencing at a rate of Rs. 25 per metre is Rs. 1550.

Explanation:

Given that:

• Length of plot (L) = 17 m
• Width of plot (W) = 14 m

To Find:

• Cost of fencing at a rate of Rs. 25 per metre?

Solution:

• Firstly let's find perimeter of rectangular plot ::

We know that,

⧪ $\boxed{{\textsf{\textbf{\purple{Perimeter}}}}_{{\textsf{\textbf{\purple{(rectangle)}}}}} {\textsf{\textbf{\purple{\:= 2(L + W)}}}}}$ ⧪

Where,

• L denotes length
• W denotes width

According to the question by using the formula we get,

➼ $\sf Perimeter_{(plot)} = 2(17 + 14)$

➼ $\sf Perimeter_{(plot)} = 2\:\times\:31$

➼ ${\textsf{\textbf{\pink{Perimeter}}}}_{{\textsf{\textbf{\pink{(plot)}}}}} {\textsf{\textbf{\pink{\:= 62\:m}}}}$

∴ Hence, perimeter of rectangular plot is 62 meters.

• Now, finding cost of fencing ::

We know that,

⧪ $\boxed{{\textsf{\textbf{\green{Cost}}}}_{{\textsf{\textbf{\green{(fencing)}}}}} {\textsf{\textbf{\green{\:= Rate}}}} \green{\:\times\:}{\textsf{\textbf{\green{Perimeter}}}}}$ ⧪

Putting all values we get,

➻ $\sf Cost_{(fencing)} = 25 \:\times\: 62$

➻ ${\textsf{\textbf{\red{Cost}}}}_{{\textsf{\textbf{\red{(fencing)}}}}} {\textsf{\textbf{\red{\:= Rs.\:1550}}}}$

∴ Hence, cost of fencing at a rate of Rs. 25 per metre is Rs. 1550.

Know More:

• Perimeter of square = 4 × side
• Perimeter of rectangle = 2(L + W)
• Perimeter of circle = 2πr
• Perimeter of equilateral ∆ = 3 × side
• Perimeter of any figure is calculated by sum of it's all sides.

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