Question

the parallelogram shown below has an area of 40 units². find the missing base. b = units

Explanation:

Step1: Recall area formula for parallelogram

The area \( A \) of a parallelogram is given by \( A = \text{base} \times \text{height} \), or \( A = b \times h \).

Step2: Substitute known values

We know \( A = 40 \) units² and \( h = 5 \) units. Substituting into the formula: \( 40 = b \times 5 \).

Step3: Solve for \( b \)

Divide both sides of the equation by 5: \( b = \frac{40}{5} = 8 \).

Answer:

\( b = 8 \) units