Answer:
56
Step-by-step explanation:
here is an example of how to do it with different numbers:
Notice that the total length of the horizontal sides is actually 9 centimeters. However, due to decomposition, the measurements shown are different. The height of the parallelogram is 5 centimeters. This also forms the height of the decomposed triangles.
To calculate the area of the parallelogram, add up the area of each shape created from the decomposition.
Triangle A:
The base is 2 cm, and the height is 5 cm.
A = 1
/2 × 2 cm × 5 cm =
1
/2 × 10 cm2 = 5 cm2
Triangle B: Remember, the triangles are congruent, so the area is also 5 cm2.
Rectangle:
The length is 7 cm, and the width is 5 cm.
A = 7 cm × 5 cm = 35 cm2
Total area of the parallelogram: 5 cm2 + 5 cm2 + 35 cm2 = 45 cm2.
