A square has an area of 16 cm². Calculate the length of its diagonal to the nearest 10th of a centimeter. Page 411 will be helpful after you find the length of the side of the square.

a. 6.4 cm

b. 5.7 cm

c. 8 cm

d. 4 centimeters

e. 64 cm

Question

A square has an area of 16 cm². Calculate the length of its diagonal to the nearest 10th of a centimeter. Page 411 will be helpful after you find the length of the side of the square.

a. 6.4 cm

b. 5.7 cm

c. 8 cm

d. 4 centimeters

e. 64 cm

anonymous · Answer

If the area is 16, each side is 4.  Use the pathogen theorem 4^2+4^2=diagonal^2.  Works out to about 5.7.

jhonyy9 · Answer

4sqrt2 =4*1,41 =5,64
than b.is right

anonymous · Answer

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You can calculate the diagonal with pythagoras:

$$\sqrt{(4^2 + 4^2)} = \sqrt{32} \approx 5.7$$