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What is the length of each side of a square that has the same area as a rectangle that is 14 mm long and 16 mm wide? Round to the nearest whole number.

1 Answer

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1. You have the following information:

- The square has the same area as a rectangle.
- The dimensions of the rectangle are: 14 mm long and 16 mm wide.

2. You must use the formula for calculate the area of a square, which is shown below:

A=S²

"A" is the area of the square.
"S" is the lenght of the side of the square. (It is important to remember that the sides of a squre have equals lenghts.

3. The square and the rectangle have the same area. Therefore:

Arectangle=(14 mm)(16 mm)
Arectangle=224 mm
²

A=224 mm
²

4. Now, you must substitute the value A=224 mm
² into the formula A=S² and clear "S":

A=S
²
S=√A
S=√(224 mm²)
S=15 mm

The answer is: 15 mm

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