Area of Rectangles and Parallelograms #33

The area of a figure is the amount of surface it covers. We measure area in square units. VOCABULARY

Example 1: Estimating the Area of an Irregular Figure Estimate the area of the figure.

Example 2: Finding the Area of a Rectangle Find the area of the figure. 15 in. 9 in.

Example 3 Find the area of each rectangle.. 70 ft. 11 ft.

Example 4 Find the area of each rectangle.. 9 mi. 12 mi.

You can use the formula for the area of a rectangle to write a formula for the area of a parallelogram. Imagine cutting off the triangle drawn in the parallelogram and sliding it to the right to form a rectangle. The area of a parallelogram = bh. The area of a rectangle = lw. The base of the parallelogram is the length of the rectangle. The height of the parallelogram is the width of the rectangle. FYI

Example 5: Finding the Area of a Parallelogram Find the area of the parallelogram. 2 ft ft

Example 6 Find the area of each parallelogram. 8 ft 7 ft

Example 7 Find the area of each parallelogram. 12 m 5.6 m

Example 8: Recreation Application Jessika is going to tile a kitchen that measures 13 ft by 17 ft. Some floor space is taken up by an island that measures 3 ft by 6 ft. How much area remains to be tiled in the kitchen?

Example 9 What is the area that will be painted? 18 ft 3 ft 2.5 ft 8 ft The figure shows a wall of an office with three identical windows. An employee is going to paint this wall of the office