# PROBLEM SOLVING 8-2 PERIMETER AND AREA OF TRIANGLES AND TRAPEZOIDS

A triangle has a height of 4 inches and a base of 10 inches. The area of the trapezoid is 42 in2. Example Problem Rosie is planting a garden with the dimensions shown below. You measure area in square units of a fixed size. When you use the formula for a triangle to find its area, it is important to identify a base and its corresponding height, which is perpendicular to the base. It could take a long time to count. Notice that the perimeter of a rectangle always has two pairs of equal length sides. The area of the entire polygon will equal the sum of the areas of the two regions. The formula for the area of any parallelogram remember, a rectangle is a type of parallelogram is the same as that of a rectangle: D ft 2 Correct. You need to create regions within the shape for which you can find the area, and add these areas together. To find the area, multiply the length 18 by the width 6. The correct answer is 11 ft 2.

The perimeter of a two-dimensional shape is the distance around the shape.

The anc of the parallelogram is 12 and the base of the parallelogram is 9; the area is 12 times 9, or ft 2. D ft 2 Correct. All measurements indicated are inches. The area of the parallelogram is 8 ft fo. Use the following formulas to find the areas of different shapes. To use this website, you must agree to our Privacy Policyincluding cookie policy.

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The formula for the area of a triangle can be explained by looking at a right triangle.

Height Height Base Base The base of a triangle can be any side. It looks like you multiplied 2 by 9 to get 18 ft 2 ; this would work if the shape was a rectangle.

It looks like you added the dimensions; remember that to find the area, you multiply the base by the height. Find the area of perimrter trapezoid. Understanding how much space you have and learning how to fit shapes together exactly will help you when you paint a room, buy a home, remodel a kitchen, or build a deck. Example Problem A triangle has a height of 4 inches and a base of 10 inches. This would give you the perimeter. Example Problem Find the perimeter of the given figure.

The area of Region A is cm 2. Start with the formula for the area of a trapezoid.

## Area of Triangles and Trapezoids

troangles They help you to quantify physical space and also provide a foundation for more advanced mathematics found in algebra, trigonometry, and calculus. Example 1B Find the area of the triangle. To find the area, use the formulawhere the base is 9 and the height is 9. Region B is a triangle. Feedback Privacy Policy Feedback.

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Find the perimeter of the given figure. Sooving area of the trapezoid is This shape is a combination of two simpler shapes: Auth with social network: Finding the Area of a Triangle Find the area of the triangle. Example 2A Find the area of the trapezoid. We think you have liked this presentation. Example Problem Find the area and perimeter of the polygon. To help you find the area of the many different categories of polygons, mathematicians have developed formulas. The correct answer is 11 ft 2. 