Square Area: Finding the Geometric Expression for ABCD

When squaring a fraction, square both the top and bottom! So $(\frac{20}{y})^2 = \frac{20^2}{y^2} = \frac{400}{y^2}$. Remember: everything gets squared separately.

The side length here is $\frac{20}{y}$, not just y! Since area = side², we get $(\frac{20}{y})^2 = \frac{400}{y^2}$. The actual side measurement determines the area formula.

The variable y is in the denominator, so it could represent a scaling factor or unit conversion. As y gets larger, the side length $\frac{20}{y}$ gets smaller, making the area smaller too.

Think of it as "square distributes over division": $(\frac{a}{b})^2 = \frac{a^2}{b^2}$. Just like how $(a \cdot b)^2 = a^2 \cdot b^2$, the exponent applies to each part of the fraction.

Then the area would be $(20y)^2 = 400y^2$. Notice how the variable goes from the denominator (making things smaller) to the numerator (making things larger) when we change from division to multiplication.