Let the length of a rectangle be \(x\) metres. If its diagonal is 37 metres and its breadth is 12 metres, which quadratic equation can be formed to find \(x\)?
Answer and explanation
Correct answer: \(x^2+144=1369\)
The length, breadth and diagonal of a rectangle form a right-angled triangle. By the Pythagorean theorem, \(x^2+12^2=37^2\), which gives \(x^2+144=1369\). Option C has the incorrect sign before the square of the breadth. Exam tip: The diagonal of a rectangle is the hypotenuse of the right triangle formed by its length and breadth.
Frequently asked questions
What is the correct answer to this question?
\(x^2+144=1369\)
Why is this the correct answer?
The length, breadth and diagonal of a rectangle form a right-angled triangle. By the Pythagorean theorem, \(x^2+12^2=37^2\), which gives \(x^2+144=1369\). Option C has the incorrect sign before the square of the breadth. Exam tip: The diagonal of a rectangle is the hypotenuse of the right triangle formed by its length and breadth.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Word Problems and Applications.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
