Warm up:1. What is the area of the parallelogram?

2. A triangular window pane is 4 feet 8 inches wide and 3 feet 6 inches high. What is the area of the window pane? Round to the nearest tenth square foot if necessary.

3. What is the area of the figure below?

I can find the area of a trapezoid, rhombus, or kite.

10.2 - AREAS OF TRAPEZOIDS, RHOMBUSES, AND KITES

You can find the area of a trapezoid when you know its height and the lengths of its bases.

Area of a Trapezoid

The area of a trapezoid is half the product of the height and the sum of the bases.

A = 1/2h( + )

Problem: Area of a Trapezoid•What is the approximate area of Nevada?

Problem: Area of a Trapezoid•What is the area of a trapezoid with height 7 cm and bases 12cm and 15 cm?

Problem: Finding Area Using a Right Triangle•What is the area of trapezoid PQRS?

Problem: Finding Area Using a Right Triangle • In Problem 2, suppose h decreases so that m<P = 45 while angles R and Q and the bases stay the same. What is the area of trapezoid PQRS?

Problem: Area of a Trapezoid•What is the area of the trapezoid below?

You can find the area of a rhombus or a kite when you know the lengths of its diagonals.

Area of a Rhombus or a Kite

Problem: Finding the Area of a Kite• What is the area of kite KLMN?

Problem: Finding the Area of a Kite• What is the area of a kite with diagonals that are

12 in. and 9 in. long?

Problem: Finding the Area of a Kite• What is the area of kite ABCD?

Problem: Finding the Area of a Rhombus• The High Occupancy Vehicle (HOV) land is marked by a series of “diamonds”, or rhombuses painted on the pavement. What is the area of the HOV lane diamond shown at the right?

Problem: Finding the Area of a Rhombus• A rhombus has sides 10 cm long. If the longer diagonal is 16 cm, what is the area of the rhombus?

Problem: Finding the Area of a Rhombus•What is the area of the rhombus below?

After: Lesson Check• Find the area of each figure.

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