Question

Calculate the area of each figure. Which figure has the greatest area?Three figures. A parallelogram with height 7 centimeters and length 9 centimeters. A triangle with height 6.8 centimeters and base length 10 centimeters . A trapezoid with base lengths of 7 and 9 centimeters and a height of 3 centimeters. a. parallelogram b. triangle c. trapezoid

Answer 1

The area of the parallelogram is 63 cm², the area of the triangle is 34 cm², and the area of the trapezoid is 24 cm². The parallelogram has the greatest area.

Step-by-step explanation:

To calculate the area of each figure, we use the appropriate formulas. For the parallelogram, we use the formula for the area of a parallelogram: base × height. Plugging in the values, the area is 9 cm × 7 cm = 63 cm². For the triangle, we use the formula for the area of a triangle: (base × height) / 2. Plugging in the values, the area is (10 cm × 6.8 cm) / 2 = 34 cm². For the trapezoid, we use the formula for the area of a trapezoid: ((base1 + base2) / 2) × height. Plugging in the values, the area is ((7 cm + 9 cm) / 2) × 3 cm = 24 cm².

The figure with the greatest area is the parallelogram with an area of 63 cm².

Learn more about Area of Figures