Question
This figure is composed of a parallelogram and a trapezoid.
32 centimeters. 26 centimeters. 16 centimeters. 40 centimeters.
What is the area of the figure in square centimeters?
1,056 cm2
1,360 cm2
944 cm2
528 cm2
...
32 centimeters. 26 centimeters. 16 centimeters. 40 centimeters.
What is the area of the figure in square centimeters?
1,056 cm2
1,360 cm2
944 cm2
528 cm2
...
Answers
GPT 3.5
The formula for the area of a parallelogram is base x height and the formula for the area of a trapezoid is 1/2 x (sum of parallel sides) x height.
For the parallelogram:
Area = 26 cm x 32 cm = 832 cm^2
For the trapezoid:
Area = 1/2 x (16 cm + 40 cm) x 26 cm = 1/2 x 56 cm x 26 cm = 728 cm^2
Total area = 832 cm^2 + 728 cm^2 = 1,560 cm^2
Therefore, the area of the figure is 1,560 cm^2.
None of the provided answer options match the correct calculation.
For the parallelogram:
Area = 26 cm x 32 cm = 832 cm^2
For the trapezoid:
Area = 1/2 x (16 cm + 40 cm) x 26 cm = 1/2 x 56 cm x 26 cm = 728 cm^2
Total area = 832 cm^2 + 728 cm^2 = 1,560 cm^2
Therefore, the area of the figure is 1,560 cm^2.
None of the provided answer options match the correct calculation.