Answer:
The best estimate of the area of the larger figure is
Step-by-step explanation:
step 1
<em>Find the scale factor</em>
we know that
If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor
Let
z----> the scale factor
x-----> the corresponding side of the larger figure
y-----> the corresponding side of the smaller figure
so
we have
substitute
-----> the scale factor
step 2
<em>Find the area of the larger figure</em>
we know that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
Let
z----> the scale factor
x-----> the area of the larger figure
y-----> the area of the smaller figure
so
we have
substitute and solve for x