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A square rug has an area of 42ft what is the exact side length of the rug

User Midopa
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5 votes

Answer:

Hence, the exact side length of the rug is s = √(42) ft.

Explanation:

To find the exact side length of the square rug, we can use the formula for the area of a square. The formula for the area of a square is given by A = s^2, where A represents the area and s represents the side length of the square.

In this case, we are given that the area of the square rug is 42ft^2. So, we can set up the equation as follows:

42ft^2 = s^2

To solve for s, we need to take the square root of both sides of the equation:

√(42ft^2) = √(s^2)

Simplifying further:

√(42ft^2) = s

Taking the square root of 42ft^2 gives us an irrational number, which means it cannot be expressed as a simple fraction or decimal. Therefore, we can only provide an exact answer in terms of a radical.

The square root of 42 can be simplified as √(42) = √(2 * 3 * 7) = √(2) * √(3) * √(7).

User Akshay Gaur
by
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