Question

The diagonal of a rectangle is four times the length of its smaller side. What is the ratio of its length and breadth?

Answer 1

Answer:

√15 : 1 is the ratio of it's length to it's breadth.

Step-by-step explanation:

Let the breadth of the rectangle be x then the

diagonal will be 4x.

So the length will be

(x)² + (l)² = (4x)²

or, x² + l² = 16x²

or, l² = 16x² - x²

or, l² = 15x²

or, l = √15 x

Now the ratio of the rectangle's length to it's breadth is

√15 x : x = √15 : 1

Answer 2

Step-by-step explanation:

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