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Exemplo 9.38 de Prealgebra, 9.4 Use Properties of Rectangles, Triangles, and Trapezoids
Use Properties of Rectangles, Triangles, and Trapezoids: exemplo 9.38
Problema e solução em inglês, como no livro original.
Find the area of a trapezoid whose height is 6 inches and whose bases are and inches.
Resolva no papel primeiro. Depois abra a solução um passo de cada vez e pare assim que conseguir terminar sozinho.
Solução
Step 1. Read the problem. Draw the figure and label it with the given information. Step 2. Identify what you are looking for. the area of the trapezoid Step 3. Name. Choose a variable to represent it. Let Step 4.Translate.
Write the appropriate formula.
Substitute.Step 5. Solve the equation. Step 6. Check: Is this answer reasonable? If we draw a rectangle around the trapezoid that has the same big base and a height its area should be greater than that of the trapezoid.
If we draw a rectangle inside the trapezoid that has the same little base and a height its area should be smaller than that of the trapezoid.
The area of the larger rectangle is square inches and the area of the smaller rectangle is square inches. So it makes sense that the area of the trapezoid is between and square inches
Step 7. Answer the question. The area of the trapezoid is square inches.
Sua vez
O Try It do livro logo depois deste exemplo: mesma ideia, outros números. Só a resposta é dada.
The height of a trapezoid is yards and the bases are and yards. What is the area?
Como foi?