CPM Homework Help : MC2 Problem 1-12

In this lesson, you looked at the number of tiles and number of toothpicks used to form shapes made of square tiles as you played the "Toothpick and Tiles" game. The math words that also describe the number of tiles and toothpicks are area and perimeter. Read the Math Notes box for this lesson to review how area and perimeter are related to tiles and toothpicks, then answer the questions below.

Find the area and perimeter of the figure at right.
Hint (a):
The area is the number of square units in the shape. The perimeter is the total length of all the sides.
Perimeter Help (a):
Add up all the sides of the rectangle: $5\text{ cm} + 5\text{ cm} + 4\text{ cm} + 4\text{ cm}$
Area Help (a):
Count the squares in the rectangle. How does the number of squares relate to the base and height?

20 square tiles arranged in 4 rows of 5 tiles. The top edge is labeled 5 cm and the right edge is labeled 4 cm.

Find the area and perimeter of the rectangle at right.
Help (b):
See part (a).
Answer (b):
Area: $40$ sq cm
Perimeter: $26$ cm
Be sure to explain how these answers relate to the given
measurements of the rectangle.

A horizontal rectangle, labeled as follows: top side, 8 cm, and right side, 5 cm.

Now design your own shape with $5$ square tiles. Record the perimeter and the area. (CPM).
One Possible Solution (c):
Area: $5$ sq in
Perimeter: $12$ in

Use the eTool below to design a shape with 5 square tiles for part (c).
Click the link at right for the full version of the eTool: MC2 1-12 HW eTool