Answer:
Part a) The length of the smaller rectangle is
Part b) The width of the smaller rectangle is
Part c) The area of the smaller rectangle is
Step-by-step explanation:
Part a)
<u>Find the length side of the smaller figure</u>
we know that
The scale factor is equal to
Remember that
The scale factor is equal to divide the measure of the smaller figure by the corresponding measure of the original figure
so
Let
x--------> the length of the smaller rectangle
y-------> the length of the original figure
z-----> scale factor
we have
substitute and solve for x
Part b)
<u>Find the width side of the smaller figure</u>
we know that
The scale factor is equal to
Remember that
The scale factor is equal to divide the measure of the smaller figure by the corresponding measure of the original figure
so
Let
x--------> the width of the smaller rectangle
y-------> the width of the original figure
z-----> scale factor
we have
substitute and solve for x
Part c)
<u>Find the area of the smaller figure</u>
we know that
The scale factor is equal to
Remember that
The scale factor squared is equal to divide the area of the smaller figure by the area of the original figure
so
Let
x--------> the area of the smaller rectangle
y-------> the area of the original figure
z-----> scale factor
so
we have
substitute and solve for x