The dilation means to magnify or demagnify the object.
The area of the dilated square is 196 in².
What is the square?
It is a type of polygon which having four sides and four vertices. And all the sides and angles are equal.
Area of square = side²
Given
The area of the square is 4 in².
Dilation is 7.
To find
The area of Dilated square.
The area of the square will be
\(\begin{aligned} \rm Area\ of\ square\ &= \rm (side)^{2} \\\rm 4 &= \rm (side)^{2} \\\rm side &= 2\\\end{aligned}\)
SIde is dilate by 7 = 2 x 7 = 14 in.
The area of the dilated square will be
\(\begin{aligned} \rm Area\ of\ dilated\ square\ &= \rm (side)^{2} \\\\\rm Area\ of\ dilated\ square &= \rm (14)^{2} \\\\\rm Area\ of\ dilated\ square &= 196\\\end{aligned}\)
Thus, the area of the dilated square is 196 in².
More about the square link is given below.
https://brainly.com/question/13747846
