Joshua is creating a series of rectangles, one inside the other. The length of the first rectangle, Rectangle A, is five inches. Joshua dilates Rectangle A about its center by a scale factor of two to get Rectangle B. He repeats this process using the same scale factor till he gets a rectangle of length 80 inches. How many dilations did Joshua perform including the dilation of Rectangle A? 4 2 8 16

Question

Joshua is creating a series of rectangles, one inside the other. The length of the first rectangle, Rectangle A, is five inches. Joshua dilates Rectangle A about its center by a scale factor of two to get Rectangle B. He repeats this process using the same scale factor till he gets a rectangle of length 80 inches.    How many dilations did Joshua perform including the dilation of Rectangle A?   4   2   8   16

ganpat · Answer

rectangle A is 5....

he uses a scale factor of 2..

SO Rectangle B = 2 * 5 = 10 inches..

so he wants rectangle of 80 inches, so number of dilation will be

5, 10, 20 , 40, 80...