Question

Note: Figure not drawn to scale

If X = 11 units, Y = 12 units, and h=9 units, what is the area of the parallelogram shown above?
A.
108 square units
B.
99 square units
C. 132 square units
D.
46 square units

Answer 1

B. 99 square units

Explanation:

The parallelogram is a quadrilateral where the opposite sides are parallel to each other. This geometric figure constitutes, therefore, a polygon that consists of 4 sides where there are two cases of parallel sides.

To calculate the area of ​​a parallelogram, you must know the length of the height relative to one of its sides.

Let the base be the side x and the height (h) relative to the base. The area of ​​the parallelogram is the product of the base and the height.

`a=(x)(h)` Where:

a is the area in square units.

x is the base in units.

h is the height in units.

Solving:

With x = 11 units and h = 9 units

`a=(11units)(9units)\\a=99units^(2)`