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.

Answer 1

Perry is correct, she covered the greatest area = 18 square units.

Explanation:

Looking at the attached diagram, the shapes are rectangular and they are on grid or graph

Note that on a graph:

1 square box = 1 unit

Area of rectangle = Length × Width

For Karina

The Width = 3 units

The length = 4 units

The area which Karina covered = 3 units × 5 units

= 15 square units

For Perry

The Width = 9 units

The length = 2 units

The area perry covered = 9 units × 2 units

= 18 square units

Therefore, Perry is correct, she covered the greatest area = 18 square units.