Lesson 13 Find the Area of Figures

    • Let’s find the area of figures.

Warm-up Number Talk: Extend Make a Ten

Find the value of each expression mentally.

Activity 1 Bye-Bye Squares

Problem 1

What do you notice? What do you wonder?

A figure for finding area.

Problem 2

Find the area of each figure. Explain or show your reasoning.

  1. A figure for finding area.
  2. T-shaped figure. If split horizontally, 2 rectangles. Top, 8 tick marks by 3 tick marks. Bottom, 4 tick marks by 2 tick marks. 

Activity 2 How Many Pavers Do We Need?

Photograph of patio. Floor paved with square tiles. 

Noah wants to use square pavers that are 1 square foot each to create a small patio in the community garden. A diagram of the patio is shown.

6-sided shape. Straight sides. All side lengths meet at right angles. Bottom, 3 ft. Right side rises 2 ft, then goes right 6 ft, up 4 ft. Top side length, 9 ft. Left side length, 6 ft.  

  1. How many 1 square foot pavers will Noah need to cover the whole patio?

  2. What is the area of the patio? Explain or show your reasoning.

Practice Problem

Problem 1

Find the area of this figure. Explain or show your reasoning.

6-sided shape. Straight sides. All side lengths meet at right angles. Bottom, 5 ft. Right side rises 6 ft, then goes right 5 ft, up 4 ft. Top side length, 10 ft. Left side length, 10 ft.