Problema Solution
Shannon is making three different sizes of blankets from the same material. The first measures 2.5 feet by 2 feet. She wants to enlarge it by a scale factor of 2 to make the second blanket. Then she will enlarge the second one by a scale factor of 1.5 to make the third blanket. What are the dimensions of the third blanket? Are all of the blankets similar?
Answer provided by our tutors
We assume the blankets have rectangular form.
1st rectangle dimensions: 2.5 ft by 2 ft
2nd rectangle dimensions: 2.5*2 = 5 ft by 2*2 = 4 ft
3rd rectangle dimensions: 5*1.5 = 7.5 ft by 4*1.5 = 6 ft
Since 2.5/2 = 5/4 = 7.5/6 all of the rectangle blankets are similar.