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12 October, 18:41

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.

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  1. 12 October, 19:03
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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=S ²

    "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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