uinn is determining the area of a trapezoid. His work is shown below.
A trapezoid has a base of 14 centimeters, a height of 6 centimeters, and a top side length of 10 centimeters.
Step 1: Break the figure into rectangles and triangles.
A trapezoid is broken into a rectangle and 2 triangles. The rectangle has a height of 6 centimeters and a base of 10 centimeters. The triangles each have a base of 2 centimeters and a height of 6 centimeters.
Step 2: Find the area of the rectangle: 6 times 10 = 60.
Step 3: Find the area of the triangles: One-half times 2 times 6 = 6.
Step 4: Add the areas together: 60 + 6 = 66 square centimeters.
Which best describes Quinn’s error?
The base of the triangle in Step 1 should be 4 cm.
The area of the triangles in Step 3 should be One-half times 2 times 10 = 10.
The area of the triangle in Step 3 should be doubled since there are 2 triangles.
The areas in Step 4 should be multiplied together instead of added together.
the answer is: The area of the triangles in Step 3 should be One-half times 2 times 10 = 10.
