Take Class 9 Tuition from the Best Tutors
Affordable fees 1-1 or Group class Flexible Timings Verified Tutors Search in
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?
Asked by Neha Last Modified
Answer 
Tasneem
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 of ΔABD 
Area of the park = Area of ΔABD + Area of ΔBCD
= 35.496 + 30 m2 = 65.496 m2 = 65.5 m2 ( Approximate Value)
read lessLet us join BD.
Now BCD is a right triangle, right angled at C.
∴ area of triangle BCD = ½bh
= 1/2 × 12 × 5 = 6 × 5 = 30m².
By Pythagoras theorem, BD² = 12² + 5²
⇒ BD² = 144 + 25 = 169
∴ BD = √169 = 13m.
Now, area of triangle ABD
= √ 15 ( 15 - 13 ) ( 15 - 8 ) ( 15 - 9
= √ 15 × 6 × 2 × 7 = √ 5 × 3 × 3 × 2 × 2 × 7
= 6√35m² = 6 × 5.9 = 35.4m².
∴ the area of the park ABCD
= area of ABD + area of BCD
= 30m² + 35.4m² = 65.4m².
read less
View 6 more Answers
Related Questions
Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com
Ask a QuestionRecommended Articles
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 >
How To Choose The Right School For Children?
Quality education does not only help children to get a successful career and life, but it also hugely contributes to society. The formal education of every child starts from school. Although there are numerous schools, parents find it challenging to choose the right one that would fit their child. It is difficult for them...
Read full article >
The Rising Problems in Indian Government School
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 >
Top Benefits of e-Learning
With the current trend of the world going digital, electronic renaissance is a new movement that is welcomed by the new generation as it helps makes the lives of millions of people easier and convenient. Along with this rapidly changing movement and gaining popularity of Internet, e-Learning is a new tool that emerging...
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 youThe best tutors for Class 9 Tuition Classes are on UrbanPro
The best Tutors for Class 9 Tuition Classes are on UrbanPro
6
