To calculate the area of the parallelogram with a base of 6 and a height of 4, multiply to get 24 square units. This principle applies to other shapes, like squares where the side length is squared, and triangles where the area is half the base times the height.
Calculating the Area of a Parallelogram
To find the area of a parallelogram, you multiply the base by the perpendicular height. Given that the base is 6 and the height is 4, the formula would be:
Area = base × height
Area = 6 × 4 = 24 square units.
This is how you would apply the concept of area to different shapes:
Marta's larger square: if the first square's side length is 4 inches, and the second square's dimensions are twice that, then the side length of the larger square is 8 inches. To find the area, square the side length (64 square inches).
The area of a triangle with a base of 166 mm and a height of 930 mm: change the units to meters, then use the formula (1/2) × base × height, and state the answer to the correct number of significant figures.
For a base of 1.007 m and a height of 0.665 m, the same triangle area formula applies, yielding the answer in square meters with the right significant figures.
Understanding units is crucial; for example, we know that area units are squared, while perimeter or length units are not.