Let \( x \) represent the width (shorter side) of the rectangular house. Given that the length is two and a half times the width, we can express the length as:
\[ \text{Length} = 2.5x = \frac{5}{2}x \]
The area \( A \) of a rectangle is calculated by multiplying the length by the width:
\[ A = \text{Length} \times \text{Width} \]
Substituting the expressions for length and width into the area formula, we get:
\[ A = \left(\frac{5}{2}x\right) \times x \]
This simplifies to:
\[ A = \frac{5}{2}x^2 \]
Thus, the expression for the area of the rectangle in terms of \( x \) is:
\[ A = \frac{5}{2}x^2 \]
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