Question

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.

Answer 1

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 mm²

 A=224 mm²

 4. Now, you must substitute the value A=224 mm² into the formula A=S² and clear "S":

 A=S²
 S=√A
 S=√(224 mm²)
 S=15 mm

 The answer is: 15 mm