Question

The following graph represents the possible areas of a rectangle with a perimeter of 40 feet. Select all the statements that accurately describe the area of the rectangle based on the graph shown. Question 5 options: The maximum area is 10 square feet. The minimum area is 100 square feet. The maximum area is 100 square feet. The area will be less than or equal to 100 square feet.

Answer 1

Statements of Max Area as 100 sqft and area of less or equal to 100 sqft are true

Explanation:

P=40

P=2L+2w

A=L•w

If L=10, w=10, A=100

If L=1, w=19, A=19

If L=0.5, w=19.5, A=9.75

If L=10.5, w=9.5, A=99.75

×Max area is NOT 10

✓Max Area is 100

×Minimum area is NOT 100

✓Area ≤100