Question

If the diagonal of the rectangle is 10.5 inches and the length of the rectangle is 7.25, what is the width of the rectangle?

Answer 1

Answer:-

The width of this rectangle is = 7.59

Given:-

In this question, it is given that -

The diagonal of this rectangle is = 10.5

the length of this rectangle is = 7.25

To find:-

We have to find the width of this rectangle.

Solution:-

We can easily solve this problem using the Pythagorean theorem.

In this problem, it is given that the length of this rectangle is = 7.25 and the diagonal is =10.5

so by the Pythagorean theorem, we can get-

(length)² + (width)² = (diagonal)²

or, (7.25)² + (width)² = (10.5)²

or, (width)² = (10.5)² - (7.25)²

= 17.75 × 3.25

= 57.6875

or, width = 7.59

So, the width of the rectangle is 7.59.

Answer 2

w≈7.6in

Explanation:

L= 7.25

D= 10.5

1. Using the formula
   `d=\sqrt{w^(2) + l^(2) } \\`
2. Solving for w
   `w=\sqrt{d^(2) -l^(2) }`
3. 
   `\sqrt{10.52^(2)-7.25^(2) } = 7.59523in`