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
...
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.