What is the value of the constant in the equation that relates the height and width of this rectangle?
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Answer: The answer is (A) 100.
Step-by-step explanation: We are given a rectangle on a two-dimensional plane. The equation relating the height and width of the rectangle is given by
[tex]H(w)=\dfrac{\textup{Constant}}{w}.[/tex]
Now, since the height and width of the rectangle is 10 units and 10 units respectively, so the co-ordinates (10, 10) will satisfy the given equation.
That is, (w, H(w)) = (10, 10).
Therefore,
[tex]10=\dfrac{\textup{Constant}}{10}\\\\\\\Rightarrow \textup{Constant}=10\times 10\\\\\Rightarrow \textup{Constant}=100.[/tex]
Thus, the answer is 100.