Which statements are true about the area of the parallelogram? Check all that applyThe area can be found by using the formula bh.The area can be found by using the formula One-half b h.The area can be found by using the formula s squared.The expression (6.1)(3.6) can be used to find the area.The expression One-half (6.1) (3.6) can be used to find the area. The expression (6.1) squared can be used to find the area. The area is 10.98 square meters.The area is 21.96 square meters.

1 answer

Let's evaluate each statement regarding the area of a parallelogram:

  1. The area can be found by using the formula \(bh\).
    True. The area of a parallelogram is calculated by multiplying the base (b) by the height (h).

  2. The area can be found by using the formula One-half \(b h\).
    False. This formula is used for the area of a triangle, not a parallelogram.

  3. The area can be found by using the formula \(s^2\).
    False. This formula is used for the area of a square, not a parallelogram.

  4. The expression \((6.1)(3.6)\) can be used to find the area.
    True. If 6.1 is the base and 3.6 is the height of the parallelogram, then \((6.1)(3.6)\) gives the area.

  5. The expression One-half \((6.1)(3.6)\) can be used to find the area.
    False. This expression would give you half the area, which is not correct for a parallelogram.

  6. The expression \((6.1)^2\) can be used to find the area.
    False. This expression calculates the area of a square where all sides are equal, not a parallelogram.

  7. The area is 10.98 square meters.
    False. To calculate the area using the expression \((6.1)(3.6)\), you would do \(6.1 \times 3.6\), which equals 21.96.

  8. The area is 21.96 square meters.
    True. The area is indeed \(6.1 \times 3.6 = 21.96\) square meters.

In summary, the true statements are:

  • The area can be found by using the formula \(bh\).
  • The expression \((6.1)(3.6)\) can be used to find the area.
  • The area is 21.96 square meters.