# The diagonal of a

Let the breadth of the ground be b

Diagonal = b + 60

Length = b + 30

Using Pythagoras theorem

(b + 30)2 + b2 = (b + 60)2

(b + 30)2 – (b + 60)2 = – b2

Using identity (a + b)(a – b) = a2 – b2

(b + 30 + b + 60)(b + 30 – b – 60) = – b2

(2b + 90)(– 30) = – b2

b2 – 60b – 2700 = 0

b2 – 90b + 30b – 2700 = 0

taking b common from first two terms and 30 common from next two

b(b – 90) + 30(b – 90) = 0

(b + 30)(b – 90) = 0

(b + 30) = 0 or (b – 90) = 0

Thus b = 90 m as b cannot be negative because b represents breadth of rectangle

Length = b + 30 = 90 + 30 = 120 m

Area = length × breadth = 120 × 90 = 10800 m2

Therefore, area of ground is 10800 m2

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Introduction to Linear Equations in Two Variables62 mins
Pair of Linear Equations-Yahaan se laye marks57 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses
RELATED QUESTIONS :

The difference ofGujarat Board Mathematics

The sides of a riGujarat Board Mathematics

While selling a pGujarat Board Mathematics

A vendor gets a pGujarat Board Mathematics

The discriminate Gujarat Board Mathematics

The formula of thGujarat Board Mathematics

Sunita's age at pGujarat Board Mathematics

The product of diGujarat Board Mathematics

Hypotenuse of a rGujarat Board Mathematics

If price of sugarGujarat Board Mathematics