High School

Calculate the area of the parallelogram shown below. All measurements are in metres.

Length = 68 m
Perpendicular Distance = 20 m

A. 1,836 square metres
B. 680 square metres
C. 1,182 square metres
D. 1,360 square metres

Answer :

Final answer:

The area of the parallelogram is calculated as the product of the base and the height, resulting in 1,360 square meters, which corresponds to answer option d.

Explanation:

To calculate the area of a parallelogram, the formula used is:

Area = Base × Height

Given that the length of the parallelogram acts as the base and equals 68 meters, and the perpendicular distance, which serves as the height, is 20 meters, the calculation is:

Area = 68 m × 20 m

Area = 1360 square meters

Therefore, the correct answer is 1,360 square meters, which is option d.

Parallel to this, recalling some basic geometry concepts:

  • The perimeter of a square having a side of length 'a' is 4a, and its area would be a².
  • If we have a cube with side length 'a', its volume is calculated as a³.

Units are important to match the dimension we are measuring—perimeter in linear units, area in square units, and volume in cubic units.