### Home > CC1 > Chapter 2 > Lesson 2.2.3 > Problem2-46

2-46.

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

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).

To find side $a$, explore how the three sides ($a$, 3 cm, and 4 cm) equal the base of 10 cm. Find side $b$ in a similar manner.

The area of any square or rectangle is the length times the width. Divide the figure into squares and rectangles.  See the example below for one way to divide the figure.