Ex 4.3, 3 - Chapter 4 Class 10 Quadratic Equations

Last updated at April 16, 2024 by Teachoo

Transcript

Ex 4.3, 3
Is it possible to design a rectangular mango grove whose length is twice its breadth, and the area is 800 m2? If so, find its length and breadth.
Given that
Area = 800 m2
And,
Length is twice its breadth
Let Breadth be x
∴ Length = 2x
Now,
Area = length x breadth
800 = x ×2𝑥
800 = 2x2
2x2 = 800
x2 = 800/2
x2 = 400
x = ± √("400" )
x = ± 20
So, x = 20 or x = – 20
Since x is length, x cannot be negative
∴ x = 20 is the solution
Therefore,
Breadth of mango grove = x = 20 m
& Length of mango grove = 2x = 2(20) = 40 m

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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