Question

A square with an area of 4 in² is dilated by a factor of 7.

Answer 1

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the area of the dilated square  if square with an area of 4 in² is dilated by a factor of 7 is ​196 in²

Answer 2

ANSWER

$Area = 196 \: in^{2}$


EXPLANATION


The area of the smaller square is 4 in².

This means that the smaller square has length,

$l = 2 \: in$



The scale factor of the dilation is

$k = 7$
The length of the bigger square becomes,


$L = 7 \times 2 = 14 \: in$


The area of the dilated square is





$Area=L^2$

$Area=14^2 = 196 \: in^{2}$

The correct answer is option D.