Question

ABCD is a rectangle. What is the value of x? rectangle with length 63 m, width x m, and diagonal 65 m

Answer 1

Width is 16

Explanation:

This problem can be solved using the Pythagorean Theorem. Where the diagonal is C and the length is A.

Answer 2

For this case we have that by definition, the Pythagorean theorem states that:

`c ^ 2 = a ^ 2 + b ^ 2`

According to the rectangle data we have to:

`65 ^ 2 = 63 ^ 2 + x ^ 2`

We cleared:

`x ^ 2 = 65 ^ 2-63 ^ 2\\x = \pm \sqrt {4225-3969}\\x = \pm \sqrt {256}`

We choose the positive value:

`x = \sqrt {256}\\x = 16`

Finally, the width of the rectangle is 16m

ANswer:

`16m`