Question

the area of the parallelogram below is 280 m². what is its height? (not drawn to scale) 20 m

Explanation:

Step1: Recall the formula for the area of a parallelogram

The area \( A \) of a parallelogram is given by the formula \( A = base \times height \), or \( A = b \times h \), where \( b \) is the base and \( h \) is the height.

Step2: Identify the known values and the unknown

We know that the area \( A = 280 \, m^2 \) and the base \( b = 20 \, m \). We need to find the height \( h \).

Step3: Rearrange the formula to solve for \( h \)

From \( A = b \times h \), we can solve for \( h \) by dividing both sides of the equation by \( b \). This gives us \( h=\frac{A}{b} \).

Step4: Substitute the known values into the formula

Substitute \( A = 280 \, m^2 \) and \( b = 20 \, m \) into the formula \( h=\frac{A}{b} \). So, \( h=\frac{280}{20} \).

Step5: Perform the division

\( \frac{280}{20}=14 \).

Answer:

The height of the parallelogram is \( 14 \, m \).