Answer
437.4k+ views
Hint: Find out the perimeter of the garden which is in the form of an equilateral triangle and the perimeter of the triangle is equal to the sum of all the sides and hence you can easily find the rate of fencing.
Complete step-by-step answer:
Here, according to the question, it is given that a lawn in the garden is in the shape of the equilateral triangle and the length of one of the sides of an equilateral triangle is $75m$. It is also given that the rate of fencing $1meter$ is $Rs$$12$. So we have to find the amount required for fencing around the triangle.
Let us draw the diagram of the garden and the lawn.
Here $ABCD$ is the garden and $PQR$ is the lawn in the form of the equilateral triangle.
We have to do the fencing around this lawn or the triangle.
First of all we should know what fencing means. Fencing means to cover the lawn from all three sides.
So we can find the perimeter of the lawn and then find the rate of fencing as the rate of fencing $1m$ is given.
Perimeter$ = $ sum of all sides of the triangle.
Here as it is given that it is an equilateral triangle and therefore all sides will be equal.
So, the perimeter of the triangle$ = $ sum of all sides.
$ = 75 + 75 + 75 = 225m$
The fencing rate is at $Rs$$12$ per $meter$.
Therefore total cost of fencing$ = 12 \times 225 = 2700$
Hence the total cost is $Rs2700$.
Note: If we are asked the cost of fencing is $Rs12$ per $meter$. Here its unit is $meter$and the perimeter is also in $meter$. If it is asked $Rs12$ per $mete{r^2}$then we have to find the area as its area’s unit. So you can use this trick to remove this confusion.
Complete step-by-step answer:
Here, according to the question, it is given that a lawn in the garden is in the shape of the equilateral triangle and the length of one of the sides of an equilateral triangle is $75m$. It is also given that the rate of fencing $1meter$ is $Rs$$12$. So we have to find the amount required for fencing around the triangle.
Let us draw the diagram of the garden and the lawn.
![seo images](https://www.vedantu.com/question-sets/65e7f8b9-86f4-40a3-bcd0-14b29a26e5215395983950049817593.png)
Here $ABCD$ is the garden and $PQR$ is the lawn in the form of the equilateral triangle.
We have to do the fencing around this lawn or the triangle.
First of all we should know what fencing means. Fencing means to cover the lawn from all three sides.
So we can find the perimeter of the lawn and then find the rate of fencing as the rate of fencing $1m$ is given.
Perimeter$ = $ sum of all sides of the triangle.
Here as it is given that it is an equilateral triangle and therefore all sides will be equal.
So, the perimeter of the triangle$ = $ sum of all sides.
$ = 75 + 75 + 75 = 225m$
The fencing rate is at $Rs$$12$ per $meter$.
Therefore total cost of fencing$ = 12 \times 225 = 2700$
Hence the total cost is $Rs2700$.
Note: If we are asked the cost of fencing is $Rs12$ per $meter$. Here its unit is $meter$and the perimeter is also in $meter$. If it is asked $Rs12$ per $mete{r^2}$then we have to find the area as its area’s unit. So you can use this trick to remove this confusion.
Recently Updated Pages
Mark and label the given geoinformation on the outline class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
When people say No pun intended what does that mea class 8 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Name the states which share their boundary with Indias class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give an account of the Northern Plains of India class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Advantages and disadvantages of science
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Bimbisara was the founder of dynasty A Nanda B Haryanka class 6 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
10 examples of evaporation in daily life with explanations
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
How do you graph the function fx 4x class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)