Question

If the perimeter of the parallelogram is 102 feet and the top of the parallelogram measures as 3m and the side measures as m, then what is m? (M does not stand for meters m is a variable.)

Answer 1

6m + 2m = 102
8m = 102
m = 12.75

Answer 2

48 meters.

Explanation:

The perimeter of a parallelogram is given by the formula:

`P=2(a+b)`

Where a is the measure of the length (top), and b is the measure of the slant height (side).

We know that the perimeter is 102.

We also know that the top is 3.

So, let’s substitute 102 for P and 3 for a and solve for b, the side. So:

`102=2(3+b)`

Divide both sides by 2:

`51=3+b`

Subtract 3 from both sides:

`b=48\text{ meters}`

Therefore, the side measures 48 meters.