A.6.1.2 Measuring a Garden

Noah has 50 meters of fencing to completely enclose a rectangular garden in the backyard. 1. Draw some possible diagrams of Noah’s garden. Label the length and width of each rectangle.

2. Find the length and width of such a rectangle that would produce the largest possible area. Explain or show why you think that pair of length and width gives the largest possible area.

What do you notice about the relationship between the length and the width?

What do you notice about the relationship between the length and the area?