Maggie has a square piece of origami paper that has an area close to 200 cm2. What is a good approximation for the length of one side of her paper?

Question

Maggie has a square piece of origami paper that has an area close to 200 cm². What is a good approximation for the length of one side of her paper?

1. A.20 cm
2. B.8 cm
3. C.50 cm
4. D.14 cm

Answer 1

A: Area

s: side length

The Area of a square is: A = s²

So, √A = s

√200 = s

The closest perfect square root to √200 is:

√196 = 14

So, a good approximation for the length of one side is 14cm

Note that:

20² = 400

8² = 64

50² = 2500

14² = 196, therefore √196 = 14.

Answer 2

Symphony,

You sure are submitting a lot of problems to be solved by others!!!

I am not going to do your homework. However, I will give you a hint. The area of a square is the SQUARE of the length of one of its sides.

So, if I have a square with an area of 5 square centimeters, one side is the square root of 5 or a little more than 2, since 2² is 4, not 5 but close to it.

Use this same logic to the problem you were given.