Question

ABCD is a rectangle. What is the value of x?
А
63 m
B
165 m
x m
C
A) 2 meters
B) 16 meters
C) 63 meters
D) 65 meters

Answer 1

$AC^{2} = AB^{2} + BC^{2}$ (Pythagorean theorem)

$65^{2} = 63^{2} + x^{2}$

4225 = 3969 + $x^{2}$

$x^{2} = 4225 - 3969$

$x^{2} = 256$

x = $\sqrt{256}$

x = 16 meters

B) 16 meters