Video Transcript
Michael and Mason are running
around playgrounds A and B, respectively, as shown here. The area of playground A equals
what unit squares. The area of playground B equals
what unit squares. Which playground has the larger
perimeter? And who will have run more after
the first round for both of them?
In this question, we’re comparing
the area and perimeter of two playgrounds. Let’s calculate the area of
playground A, and we’re asked to do this in unit squares. The length of playground A is six
unit squares and the width is four unit squares. So to calculate the area, we need
to multiply six by four. Six times four or four times six is
24. So the area of playground A equals
24 unit squares. Let’s calculate the area of
playground B. This playground is eight unit
squares long by three unit squares. So to calculate the area, we need
to multiply eight lots of three. Eight times three or three times
eight is also 24. The area of both playgrounds is the
same. The area of playground A equals 24
unit squares and the area of playground B is also 24 unit squares.
Now that we’ve calculated the area
of each playground, we need to calculate the perimeter of each playground. A perimeter is the distance all the
way around the outside edge of the playground. So to calculate the perimeter of
playground A, we need to add together two lots of six and two lots of four. Six plus six is 12, four plus four
is eight, and 12 plus eight equals 20. The perimeter of playground A is 20
unit squares. To calculate the perimeter of
playground B, we need to add together our two lots of eight and two lots of
three. We know that double eight is 16;
double three is six. 16 plus six is 22. 22 is greater than 20. So the playground with the larger
perimeter is playground B.
Now we can answer the final
question, who will have run more after they’ve completed a round of the
playground? In other words, if Michael and
Mason run all the away around the perimeter of their respective playgrounds, who
will have run the most? Since the perimeter of playground B
is the larger perimeter, the person who will have run the most is Mason.
