A triangular park has sides 120 m, 80 m and 50 m. A gardener has to put a fence all around it and also plant grass inside. How much area does he need to plant? Find the cost of fencing it with barbed wire at the rate of Rs. 20 per metre, leaving a space of 3 m wide for a gate on one side.

Asked by Last Modified  

5 Answers

Learn Mathematics +1

Follow 5
Answer

Please enter your answer

using Henon's(s-a)(s-b)(s-c)=?125×5×45×75=(25×15)?15=375?15sq.m Cost of fence without gate=(250-3)×20=247×20=RS.4940
Comments
Dislike Bookmark

Mathematics Tutor giving in depth knowledge of even simple concepts

Perimeter of the garden=120+80+50 =250m As space of 3 m wide for a gate is left on one side, so the length of wire required=(250-3)=247m. Cost of fencing=247X20=Rs 4940. semiperimeter(s)=perimeter/2 =250/2=>125m Area of triangle is given by A= sqrt(s(s-a)(s-b)(s-c))=sqrt(125x5x45x75)=(25x15sqrt(15))...
read more
Perimeter of the garden=120+80+50 =250m As space of 3 m wide for a gate is left on one side, so the length of wire required=(250-3)=247m. Cost of fencing=247X20=Rs 4940. semiperimeter(s)=perimeter/2 =250/2=>125m Area of triangle is given by A=sqrt(s(s-a)(s-b)(s-c))=sqrt(125x5x45x75)=(25x15sqrt(15)) => 375 sqrt(15) sq.m read less
Comments
Dislike Bookmark

Teacher

Perimeter = 120+80+50 = 250 m Leaving 3 m for the gate, the length to be fenced = 247 m Cost of fencing = 247 x 20 = Rs 4940 Area of the park = 1/2 x base x Altitude = 0.5 x 80 x 50 = 2000 sq m
Comments
Dislike Bookmark

B.Sc.B.Ed.

Area of a triangle =s (s-a)(s-b)(s-c); where s=(120+80+50)÷2=125 Area to plant grass= 125×5×45×75=21,09,375sq.m. Length of barbed wire=perimeter of the field-space for door =120+80+50-3=247m Cost of fencing=247×20= Rs.4940
Comments
Dislike Bookmark

Tutor

Length of garden (perimeter)=120+80+50=250 Now s=(a+b+c)/2=125 Area=?s(s-a)(s-b)(s-c)=?125×5×45×75=(25×15)?15=375?15sq.mt Cost of fence without gate=(250-3)×20=247×20=RS.4940/-
Comments
Dislike Bookmark

View 3 more Answers

Related Questions

Show that x = 2 and y = 1 satisfy the linear equation 2x 3y = 7.
2x + 3y=7 Put 2 in place of x and 1 in place of y. 2*2+ 3*1=4+3=7
Sajjan
The sides of a triangular plot are in the ratio of 6 : 7 : 8 and its perimeter is 420 m. Find its area.
Let,the sides are 6x, 7x, 8x. perimeter =420m 6x+7x+8x=420 21x=420 x=20. So the sides are 120,140,160 respectively. now area =root (s(s-a)(s-b)(s-c)) =root(210*90*70*50) =8133m^2
Pratik
ABCD is a quadrilateral in which AD = BC and ?DAB = ?CBA. Prove that ?ABD ? ?BAC.
Dear Sarath, let me correct your question, you put ? instead of ∠ So correct question should be: ABCD is a quadrilateral in which AD = BC and ∠DAB = ∠CBA. Prove that ∠ABD = ∠BAC. Solution: In ΔABD...
Sharath
0 0
7
The area of triangle ABC is 15 cm sq. If ?ABC and a parallelogram ABPD are on the same base and between the same parallel lines then what is the area of parallelogram ABPD.
30 cm sq
Tarun
0 0
7
The mean of 100 observations is 50. If one of the observation which was 50 is replaced by 150 then what will be the resulting mean?
Average gets increased by 1.
Ankita

Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com

Ask a Question

Related Lessons

Class-9-Maths L-1 Number System Ex1.3 Q1 (i)-(iii)

Ashish bhatia

0 0
0
Basic Circle Terms You Should Know

Saurav

0 0
0
Class-9-Maths L-11 Surface Area & Volume Ex 11.1 Q7

Ashish bhatia

0 0
0
Class-10-Linear Equations-PYqs-2023

Ashish bhatia

0 0
0
Composite Numbers
Natural numbers having more than two factors are called Composite numbers. 4, 6, 8, 9, 10, 12, 14, 15, 16, 18… are composite numbers. Number 1 is neither prime nor composite number. All even...

Arvind Kumar

0 0
0

Recommended Articles

Science, Arts Or Commerce - Which One To Go For?

Once over with the tenth board exams, a heavy percentage of students remain confused between the three academic streams they have to choose from - science, arts or commerce. Some are confident enough to take a call on this much in advance. But there is no worry if as a student you take time to make choice between - science,...

Read full article >

5 Engaging Activities For Children To Get...

Learning for every child starts from a very young age. While the formal methods include school curriculums and private lessons, the informal methods include dancing, music, drawing, and various fun-filling activities. Playing games and practising these types of activities helps the children get out of boredom and...

Read full article >

The Trend of E-learning and it’s Benefits

E-learning is not just about delivering lessons online. It has a much broader scope that goes beyond manual paper or PowerPoint Presentations. To understand the reach of E-learning and how the whole process works in developing the Educational system, we will discuss a few points here. Let us find out how this new learning...

Read full article >

6 Healthy Habits of School Children

While schools provide formal education to the children, the home is where they start learning about things informally. Parents think that schools will take the initiative to educate their children. Well, this is partially true, as parents also play an essential role in bringing up their child. For the development of particular...

Read full article >

Find Class IX Tuition near you
Class IX Tuition in Delhi
Class IX Tuition in Bangalore
Class IX Tuition in Hyderabad
Class IX Tuition in Kolkata
Class IX Tuition in Mumbai
Class IX Tuition in Chennai
Class IX Tuition in Pune
Class IX Tuition in Noida
Class IX Tuition in Gurgaon
Class IX Tuition in Lucknow

Looking for Class 9 Tuition ?

Learn from the Best Tutors on UrbanPro

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you