Question

A square has an area of 16 cm². Calculate the length of its diagonal to the nearest 10th of a centimeter.

A. 6.4 cm

B. 5.7 cm

C. 8 cm

D. 4 centimeters

E. 64 cm

Answer 1

draw a diagram


area 16cm^2 gives side length 4cm

use pythagoras' theorem

4^2 + 4^2 = x^2

x^2 = 32

\[x = \sqrt{32} = 4\sqrt{2}\]

you'll need to evaluate to find x