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9. a parallelogram has an area of 7 square units and a height of 1/4 un…

Question

  1. a parallelogram has an area of 7 square units and a height of 1/4 units. what is the matching base?

Explanation:

Step1: Recall area formula

The area formula for a parallelogram is $A = b\times h$, where $A$ is the area, $b$ is the base, and $h$ is the height.

Step2: Solve for base

We know $A = 7$ square - units and $h=\frac{1}{4}$ units. Rearranging the formula for $b$ gives $b=\frac{A}{h}$. Substituting the given values, we have $b=\frac{7}{\frac{1}{4}}$.

Step3: Calculate base value

When dividing by a fraction, we multiply by its reciprocal. So $b = 7\times4=28$ units.

Answer:

28 units