Question

Karina and Perry are cleaning up litter in the park for community service hours. Karina and Perry both claim they have covered the greatest area. Who is correct? Justify your answer using mathematical reasoning. Also, what is the area of both shapes?

Answer 1

a. Perry covered a larger area

b. Karina covered an area of 9 units squared

Perry covered an area of 18 units squared

Explanation:

Here, we are to justify our answer using mathematical reasoning.

Firstly, we need to deduce who out of the two has covered the greatest area.

The best way to go about this is by looking at the dimensions of the shapes in which they have individually covered.

For Karina, we have a square of sides 3 units by 3 units

While for Perry, we have a rectangle of dimension 9 units by 2 units

We know that judging by the areas of both, a square of side 3 by 3 has a smaller area compared to a rectangle of side 9 by 2

So since the rectangle has the bigger area, then Perry has covered a larger area during her community service

We are told to calculate the areas;

For Karina , we have;

3 by 3 = 3 units * 3 units = 9 units squared

For Perry, we have

9 by 2 = 9 units * 2 units = 18 units squared