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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?

2 Answers

10 votes

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.

User WojtusJ
by
8.0k points
11 votes

Answer:

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
User Nomce
by
8.1k points

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