warm up: 1.what is the area of the parallelogram? 2.a triangular window pane is 4 feet 8 inches wide...
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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 area of a trapezoid with height 7 cm and bases 12cm and 15 cm?
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?
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 a kite with diagonals that are
12 in. and 9 in. long?
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?