The area of a square garden is 128 m². How long is the diagonal?

a. 16 m

b. 4 √2 m

c. 8 √6 m

d. 8 m

Let's calculate the side a of this square. We call A the area of this square

A = a^2 so a = √128 = 8√2

To determine the length of the diagonal d, we use Pythagora's theorem :

d^2=a^2+a^2=2a^2 so d=√2 x a=√2 x 8√2=8 x 2 =16

Answer a is correct.

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