Question

The diagonal of a rectangle is 25 in. The width is 15 inches. What is the length?

Answer 1

The diagonal a rectangle us 25 in the widrh is 15 in what is the lenght?

Answer 2

Given,

The diagonal of a rectangle = 25 inches

Width ( or breadth) of a rectangle = 15 inches

To find,

The length of the rectangle.

Solution,

The length of the rectangle will be 20 inches.

We can easily solve this problem by following the given steps.

We know that in a rectangle, the opposite sides are of equal length and all the angles are right angles (90°).

Now, let's take a rectangle, ABCD with the breadth being BC and AD and length being AB and CD.

So, the diagonal can be AC.

According to the question,

AC = 25 in

BC = 15 in

Now, ∆ ABC is a right-angled triangle.

Using the Pythagoras theorem in ∆ ABC,

AC² = AB² + BC²

(25)² = AB² + (15)²

625 = AB²+225

AB²+225 = 625

AB² = 625-225

AB² = 400

AB =√400

AB = 20 inches

Hence, the length of the rectangle is 20 inches.