We are asked to determine the perimeter
and area of the parallelogram.
Let's begin with the perimeter.
To determine the perimeter,
we sum the lengths of the four sides
because the perimeter is the distance around the outside
of the parallelogram
and remember the opposite sides have the same length
and therefore this side has a length of 14.3 feet
and this side has a length of 26.9 feet.
If we think of walking around the parallelogram,
the perimeter is equal to 14.3 feet plus 26.9 feet
plus 14.3 feet plus 26.9 feet.
So again, the perimeter P is equal to 14.3 feet
plus 26.9 feet plus 14.3 feet plus 26.9 feet.
Let's determine the sum vertically
lining up the corresponding place values
and now we move the decimal down into the sum
and starting with the rightmost place value, we add.
Three plus nine plus three plus nine is 24.
Record the four.
Form an exchange with the two.
Add the ones place value.
Two plus four plus six is 12 plus four is 16
plus six is 22.
Record the two.
Perform an exchange with the two.
Two plus one plus two is five plus one is six
plus two is eight.
The perimeter is 82.4 feet.
And now let's determine the area.
The area of a parallelogram
is equal to the base times the height
where for the given parallelogram the base is 26.9 feet
and the height is 12.4 feet
and therefore the area is equal to 26.9 feet
times 12.4 feet and now let's determine the product.
Notice how each factor contains one decimal place
and therefore the product must contain two decimal places.
To begin, we multiply by four.
Four times nine is 36.
Record the six, perform an exchange with the three.
Four times six is 24 plus three is 27.
Record the seven, perform an exchange with the two.
Four times two is eight plus two is 10.
Now, before multiplying by the two,
we need to add a zero below the six
in the rightmost place value and now we multiply by two.
Two times nine is 18.
Record the eight, perform an exchange with the one.
Two times six is 12 plus one is 13.
Record the three, perform an exchange with the one.
Two times two is four plus one is five
and now before multiplying by the one,
we need to add zeroes to the two rightmost place values
here and here and I'm multiplying by one.
One times nine is nine, one times six is six
and one times two is two.
Now, we add.
We have six.
Seven plus eight is 15.
Record the five, perform an exchange.
One plus three plus nine is 13.
Record the three, perform an exchange.
One plus one plus five plus six is 13.
Record the three, perform an exchange
and one plus two is three
and again the product must contain two decimal places.
So starting on the right, we count over two decimal places.
One, two.
The product is 333.56 and therefore the area is equal
to 333.56 square feet or feet squared
which means 333.56 square feet
will fit inside the parallelogram and before we go,
let's go ahead and check this product on the calculator.
We have 26.9 times 12.4
which does verify we do have the correct area.
Thank you for watching.