The area of a square garden is 128 m². How long is the diagonal?
A. 8 m
B. 4 times the square root of 2
C. eight times the square root of 6
D. 16 m
My guess is D

Question

The area of a square garden is 128 m². How long is the diagonal?
A. 8 m
B. 4 times the square root of 2
C. eight times the square root of 6
D. 16 m
My guess is D

campbell_st · Answer

well take the square root of the area to find the side length. 

then use pythagoras to find the diagonal length

anonymous · Answer

$$S ^{2}=128$$ Solve for S and the use the pythagorean to find the diagonal

anonymous · Answer

$$\sqrt{2S ^{2}}=D$$

anonymous · Answer

Not to sound moronic but whats pythagoras?

anonymous · Answer

Like is it a formula?

anonymous · Answer

pythagoras is a mathematician who developed the pythagorean theorem to solve for the hypotenuse of a right triangle. the formula you will use is of the form $$a ^{2}+b ^{2}=c ^{2}$$ where a and b are the sides of the legs. I have reduced the equation further for your particular case with the equation above

campbell_st · Answer

ok... to start you need to know 

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using thr diagram and applying pythagoras' theorem to find the diagonal

$$d^2 = l^2 + l^2$$

which becomes 

$$d^2 = 128 + 128$$

can you simplify this?