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

Answer:

Width is 16

Step-by-step 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:

$16m$