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Home > CC1 > Chapter 2 > Lesson 2.2.3 > Problem 2-46

2-46.

Find the area and perimeter of the figure at right. All angles are right angles. Show all of your work. Homework Help ✎

2-46 figure image

First, remember that the perimeter of a figure is the sum of the lengths of all the sides.

To find the perimeter, it would be helpful to find the unknown lengths of the sides (represented as a and b at right).

a = 3 cm
b = 7 cm

Refer to the Math Notes box below from Lesson 2.2.3. This will help remind you how to find the area.

One way to find the area is to divide the figure into small squares of the same size. Here, you should use squares with sides of one centimeter like in the figure on the right. Now you can count the squares to find the area.

Using the formula Area = (length)(width), you can also easily find the area. First, divide the figure into separate rectangles and then find the individual areas with the formula mentioned before.

Don't forget to add all of the areas together!