RS Aggarwal - Mathematics

Book: RS Aggarwal - Mathematics

Chapter: 10. Quadratic Equations

Subject: Maths - Class 10th

Q. No. 59 of Exercise 10E

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The length of a rectangular field is three times its breadth. If the area of the field be 147 sq metres, find the length of the field.

Let the length and breadth of a rectangle be 3x and x respectively

According to the question;

Area = 147cm2

Area = length.breadth

x (3x) = 147cm2

3x2 = 147

x2 = 49

x = 7 or x = – 7 taking square root both sides

x = 7 (x cannot be negative)

length = 3.7 = 21cm, breadth = 7cm

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