Respuesta :

Given:

Area of trapezium if 3/4 cm^2.

Dilation factor is 4.

The objective is to find the area of dilated trazpezoid.

The formula to find the area of dilated trapeozid is,

[tex]\begin{gathered} \frac{After\text{ dilation}}{Before\text{ dilation}}=4 \\ \text{After dilation=4}\cdot Before\text{ dilation} \\ \text{After dilation=4}\times\frac{3}{4} \\ \text{After dilation=3cm}^2 \end{gathered}[/tex]

Hence, the area of trapezoid after dilation is, 3 cm^2.