The diagonal of a rectangle is (17\text{ cm}), and its length is (7\text{ cm}) more than its breadth. What is the area of the rectangle?

Question

Answer and explanation

Correct answer: (120\text{ cm}^2)

Let breadth be (x), then (x^2+(x+7)^2=17^2). This gives (x=8), length (15), and area (120\text{ cm}^2).

What is the correct answer to this question?

(120\text{ cm}^2)

Why is this the correct answer?

Let breadth be (x), then (x^2+(x+7)^2=17^2). This gives (x=8), length (15), and area (120\text{ cm}^2).

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Word Problems and Applications.