UrbanPro

Take Class 9 Tuition from the Best Tutors

  • Affordable fees
  • 1-1 or Group class
  • Flexible Timings
  • Verified Tutors

Search in

A rhombus shaped field has green grass for 18 cows to graze. If each side of the rhombus is 30 m and its longer diagonal is 48 m, how much area of grass field will each cow be getting?

Asked by Last Modified  

6 Answers

Learn Exercise 12.2

Follow 6
Answer

Please enter your answer

Let ABCD be a rhombus-shaped field. For ΔBCD, Semi-perimeter, = 54 m By Heron’s formula, Area of triangle Therefore, area of ΔBCD Area of field = 2 × Area of ΔBCD = (2 × 432) m2 = 864 m2 Area for grazing for 1 cow = 48 m2 Each cow will get 48 m2 area of grass fie...
read more

Let ABCD be a rhombus-shaped field.

For ΔBCD,

Semi-perimeter, = 54 m

By Heron’s formula,

Area of triangle

Therefore, area of ΔBCD

Area of field = 2 × Area of ΔBCD

= (2 × 432) m2 = 864 m2

Area for grazing for 1 cow = 48 m2

Each cow will get 48 m2 area of grass field.

read less
Comments

Physicist

A=pq/2 area of rhombus p=48 longer diagonal, q= ? shorter diagonal q=2*((30+24)*(30-24))^1/2=36 A=48*36/2=864 sq m total no of cows = 18 so each will graze around 864/18=48 sq m
Comments

Tutor

let side be a ,one diagonal be 2b,2nd diagonal be 2c now ais given as 30m ,2b is given as 48m so b =24m applying pythagorus theorem a² =b² + c²,so applying this formula c=18 now area of rombus is (product of 2 diagonals) /2 two diagonals are 48m and 36m so area=(46*36)/2,no of cows are...
read more

let side be a ,one diagonal be 2b,2nd diagonal be 2c now ais given as 30m ,2b is given as 48m so b =24m applying pythagorus theorem a² =b² + c²,so applying this formula c=18 now area of rombus is (product of 2 diagonals) /2 two diagonals are 48m and 36m so area=(46*36)/2,no of cows are 18 so area gazed by 1 cow =(46*36)/2*18=48m².

I hope i could explain it 

read less
Comments

Let PQRS be the rhombus shaped field and QS be the diagonal. ∴ area of the triangle QRS = √ 54 × ( 54 - 30 ) ( 54 - 30 ) ( 54 - 48 ) = √ 54 × 14 × 14 × 6 = √ 2 × 3 × 3 × 3 × 7 × 2 × 7 × 2 × 3 × 2 =...
read more

Let PQRS be the rhombus shaped field and QS be the diagonal.

∴ area of the triangle QRS

= √ 54 × ( 54 - 30 ) ( 54 - 30 ) ( 54 - 48 )

= √ 54 × 14 × 14 × 6

= √ 2 × 3 × 3 × 3 × 7 × 2 × 7 × 2 × 3 × 2

=  2 × 3 × 7 × 2 × 3 = 252m²

∴ area of the rhombus shaped field

= 252 × 2 = 504m².

 

read less
Comments

30*48/2=720 720/18=40, i.e each cow will get 40 of area to grass.
Comments

Expert Coach

48
Comments

View 4 more Answers

Related Questions

An umbrella is made by stitching 10 triangular pieces of cloth of two different colours (see Figure), each piece measuring 20 cm, 50 cm and 50 cm. How much cloth of each
colour is required for the umbrella?

For each triangular piece, Semi-perimeter, By Heron’s formula, Area of triangle Since there are 5 triangular pieces made of two different coloured cloths, Area of each cloth required
Praveen
0 0
5

A park, in the shape of a quadrilateral ABCD, has ∠ C =  AB = 9 m, BC = 12 m, CD = 5 m and AD = 8 m. How much area does it occupy?

Let us join BD. In ΔBCD, applying Pythagoras theorem, BD2 = BC2 + CD2 = (12)2 + (5)2 = 144 + 25 BD2 = 169 BD = 13 m Area of ΔBCD For ΔABD, By Heron’s formula, Area of triangle Area...
Neha
0 0
8
A floral design on a floor is made up of 16 tiles which are triangular, the sides of the triangle being 9 cm, 28 cm and 35 cm (see Figure). Find the cost of polishing the tiles at the rate of 50p per .

It can be observed that Semi-perimeter of each triangular-shaped tile, By Heron’s formula, Area of triangle Area of each tile = (36 × 2.45) cm2 = 88.2 cm2 Area of 16 tiles = (16 ×...
Soumya
0 0
5
A triangle and a parallelogram have the same base and the same area. If the sides of the triangle are 26 cm, 28 cm and 30 cm, and the parallelogram stands on the base 28 cm, find the height of the parallelogram.
For triangle Perimeter of triangle = (26 + 28 + 30) cm = 84 cm 2s = 84 cm s = 42 cm By Heron’s formula, Area of triangle Area of triangle = 336 cm2 Let the height of the parallelogram be h. Area...
Naveeen
0 0
9
Find the area of a quadrilateral ABCD in which AB = 3 cm, BC = 4 cm, CD = 4 cm, DA = 5 cm and AC = 5 cm.
For ΔABC, AC2 = AB2 + BC2 (5)2 = (3)2 + (4)2 Therefore, ΔABC is a right-angled triangle, right-angled at point B. Area of ΔABC For ΔADC, Perimeter = 2s = AC + CD + DA = (5 + 4...
Rasneet
0 0
5

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

Ask a Question

Recommended Articles

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 >

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 >

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 >

With the mushrooming of international and private schools, it may seem that the education system of India is healthy. In reality, only 29% of children are sent to the private schools, while the remaining head for government or state funded education. So, to check the reality of Indian education system it is better to look...

Read full article >

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
X

Looking for Class 9 Tuition Classes?

The best tutors for Class 9 Tuition Classes are on UrbanPro

  • Select the best Tutor
  • Book & Attend a Free Demo
  • Pay and start Learning

Take Class 9 Tuition with the Best Tutors

The best Tutors for Class 9 Tuition Classes are on UrbanPro

This website uses cookies

We use cookies to improve user experience. Choose what cookies you allow us to use. You can read more about our Cookie Policy in our Privacy Policy

Accept All
Decline All

UrbanPro.com is India's largest network of most trusted tutors and institutes. Over 55 lakh students rely on UrbanPro.com, to fulfill their learning requirements across 1,000+ categories. Using UrbanPro.com, parents, and students can compare multiple Tutors and Institutes and choose the one that best suits their requirements. More than 7.5 lakh verified Tutors and Institutes are helping millions of students every day and growing their tutoring business on UrbanPro.com. Whether you are looking for a tutor to learn mathematics, a German language trainer to brush up your German language skills or an institute to upgrade your IT skills, we have got the best selection of Tutors and Training Institutes for you. Read more