The smaller rectangle is a 1/4 scale drawing of the original figure. use the drop-down menus to show the missing dimensions of the scale figure.

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)

Find the length side of the smaller figure

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)

Find the width side of the smaller figure

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)

Find the area of the smaller figure

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

the domain of a function is the set of input values, x , for which a function is defined. the domain is shown in the left oval in the picture below. the function provides an output value, f(x) , for each member of the domain.