CPM Homework Help : INT2 Problem 3-98

Enlarge the shape at right on graph paper using a scale factor of $2$ . Then calculate the perimeter and area of both shapes. What do you notice when you compare the perimeters? The areas? .

A right angled trapezoid with bottom base 3 and top base 6, left side is the perpendicular height, 4, and right side 5.

Use the eTool below to enlarge the shape.
Click the link at right for the full version of the eTool: Int2 3-98 HW eTool

Step 1:

Enlarge the shape so that the sides are twice as long.

Step 2:

Calculate the area and perimeter for both shapes.

Step 3:

Compare the shapes.

Answer:

The perimeter of the new shape is twice that of the original shape. The new shape's area is four times the area of the original shape.