If \(\mathrm{x}\) meter is a unit of length then area of $1 \mathrm{~m}^{2}=\ldots \ldots \ldots \ldots$ (a) \(x\) (b) \(\mathrm{x}^{2}\) (c) \(x^{-2}\) (d) \(x^{-1}\)

Short Answer

Expert verified
1 square meter (m^2) = \(x^2\) (Option b).

Step by step solution

01

Area of a Square

To calculate the area of a square, we simply multiply the length of one side by itself. In this case, since our side length is 1 meter, we will have an area of \(1m * 1m\).
02

Express the Area in Terms of x

Since we know that x meters is equivalent to 1 meter, we can rewrite the 1 meter sides of the square in terms of x: \(x * x\).
03

Simplify the Expression

Now, multiplying x by itself gives us \(x^2\).
04

Choose the Correct Option

We now see that the area of 1 square meter, in terms of x, is given by the expression \(x^2\). This corresponds to option (b). So, the correct answer is: 1 square meter (m^2) = \(x^2\) (Option b).

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