Use the image to answer the question.
A trapezium is shown with the following measurements: bottom edge, 10 centimeters, top edge, 7 centimeters, and the left edge is 6 centimeters. A vertical, perpendicular line from the top-right vertex to the bottom edge is 5 centimeters.
What is the area of the trapezoid? Express the answer as a decimal to the tenth place.
(1 point)
cm2
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The area of a trapezoid can be calculated using the formula:
Area = 0.5 * (sum of the lengths of the parallel sides) * height
In this case, the lengths of the parallel sides are 10 cm and 7 cm, and the height is 5 cm. Plugging these values into the formula, we get:
Area = 0.5 * (10 + 7) * 5
Area = 0.5 * 17 * 5
Area = 42.5 cm^2
Therefore, the area of the trapezoid is 42.5 cm^2.
Find the area of a trapezoid that has one base length measuring 18 mm, one base measuring 16 mm, and a height of 9 mm.(1 point)
mm2
The area of a trapezoid can be calculated using the formula:
Area = 0.5 * (sum of the lengths of the parallel sides) * height
In this case, the lengths of the parallel sides are 18 mm and 16 mm, and the height is 9 mm. Plugging these values into the formula, we get:
Area = 0.5 * (18 + 16) * 9
Area = 0.5 * 34 * 9
Area = 153 mm^2
Therefore, the area of the trapezoid is 153 mm^2.
What is the area of a trapezoid whose bases are 6 m and 8 m and whose height is 7 m?(1 point)
m2
The area of a trapezoid can be calculated using the formula:
Area = 0.5 * (sum of the lengths of the parallel sides) * height
In this case, the lengths of the parallel sides are 6 m and 8 m, and the height is 7 m. Plugging these values into the formula, we get:
Area = 0.5 * (6 + 8) * 7
Area = 0.5 * 14 * 7
Area = 49 m^2
Therefore, the area of the trapezoid is 49 m^2.