Calculate Parallelogram Area: Given Perimeter 47cm and Height 6

Question

ABCD is a parallelogram.

Its perimeter is 47 cm.

What is its area?

00:00 Find the area of the parallelogram

00:03 Opposite sides are equal in a parallelogram

00:14 The perimeter of the parallelogram equals the sum of its sides

00:25 Substitute appropriate values and solve for AB

00:45 Isolate AB

00:59 This is the length of AB

01:06 Opposite sides are equal in a parallelogram

01:13 Calculate the parallelogram's area using height(H) multiplied by side(DC)

01:24 Substitute appropriate values and solve for the area

01:30 And this is the solution to the problem

First, let's remember that the perimeter of a parallelogram is the sum of its sides,

which is

AB+BC+CD+DA

We recall that in a parallelogram, opposite sides are equal, so
BC=AD=6

Let's substitute in the formula:

2AB+12=47

2AB=35

AB=17.5

Now, after finding the missing sides, we can continue to calculate the area.

Remember, the area of a parallelogram is side*height to the side.

17.5*8= 140

$140$ cm²