Question

mark each statement about the parallelogram as true or false.
2a. to calculate the area of the parallelogram, you need the two side lengths, 5 cm and 6 cm.
true false
2b. to calculate the perimeter of the parallelogram, you need the base and height, 6 cm and 3 cm.
true false
2c. to calculate the area of the parallelogram, you need the base and height, 6 cm and 3 cm.
true false
2d. to calculate the perimeter of the parallelogram, you need the two side lengths, 5 cm and 6 cm.
true false

Explanation:

2a.

The formula for the area of a parallelogram is \(A = base\times height\). The two side lengths \(5\ cm\) and \(6\ cm\) are not sufficient to calculate the area (as we need base and height).

2b.

The formula for the perimeter of a parallelogram is \(P=2\times(a + b)\) where \(a\) and \(b\) are side lengths. Base (\(6\ cm\)) and height (\(3\ cm\)) are used for area, not perimeter.

2c.

Since \(A = base\times height\), and here base \(b = 6\ cm\) and height \(h=3\ cm\), we can calculate the area using these two values.

2d.

Since \(P = 2\times(a + b)\) and \(a = 5\ cm\), \(b = 6\ cm\), we can calculate the perimeter using these two side - length values.

Answer:

2a. False
2b. False
2c. True
2d. True