Arectangle that is 8 centimeters long has an area of 100 square centimeters. a similar rectangle has an area of 16 square centimeters. what is the width of the smaller rectangle

The width of the smaller rectangle is 5 centimeters

Step-by-step explanation:

step 1

Find the scale factor

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

360/29

step-by-step explanation: