Find the area of the parallelogram below by using the area formulas for rectangles and triangles.

Question

a = 4 cm, b = 7 cm, and c = 2 cm

A.
10 cm2
B.
16 cm2
C.
28 cm2
D.
33 cm2

Answer 1

B. 16 cm2

To find the area of the parallelogram, first find the area of the rectangle formed by sides a and b:
Area = a * b = 4 cm * 7 cm = 28 cm2

Then, find the area of the triangle formed by sides b and c:
Area = (1/2) * b * c = (1/2) * 7 cm * 2 cm = 7 cm2

The area of the parallelogram is the sum of the area of the rectangle and the area of the triangle:
Area = 28 cm2 + 7 cm2 = 35 cm2

However, since the triangle was subtracted from the rectangle to form the parallelogram, the area of the parallelogram should actually be:
28 cm2 - 7 cm2 = 21 cm2

So the answer is not listed, but it would be 21 cm2.