Examine the shape at right.

1. What are the area and perimeter of the shape?

   Hint (a):

   Use the graph to determine the lengths. Remember to draw in right triangles and use the Pythagorean Theorem to determine the length of the diagonal segment.

   Answer (a):

   Perimeter $\approx25.7$ units

2. On graph paper, enlarge the figure so that the linear scale factor is $3$. What are the area and perimeter of the new shape?

   Hint (b):

   Multiply each of the dimensions of this figure by $3$ to draw the new, larger figure.

   Answer (b):

   Perimeter $\approx77$ units

3. What is the ratio of the perimeters of the shapes? What is the ratio of the areas?

   Hint (c):

   The ratio of the perimeters is not the same as the ratio of the areas.