Answer:
The width of the smaller rectangle is 5 centimeters
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 areas is equal to the scale factor squared
Let
z ----> the scale factor
x ----> the area of the smaller rectangle
y ----> the area of the larger rectangle
we have
substitute
square root both sides
step 2
Find the width of the larger rectangle
we know that the area is equal to
we have
substitute
step 3
Find the width of the smaller rectangle
To find out the width of the smaller rectangle, multiply the width of the larger rectangle by the scale factor
so