Question

Carter has 45 m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. The area of the land is 225 square meters. List each set of possible dimensions (length and width) of the field.

a. Length = 15 m, Width = 15 m
b. Length = 10 m, Width = 25 m
c. Length = 20 m, Width = 5 m
d. Length = 5 m, Width = 15 m

Answer 1

The possible dimensions for the rectangular plot of land are Length = 15 m, Width = 15 m and Length = 20 m, Width = 5 m.

Step-by-step explanation:

To find the possible dimensions (length and width) of the rectangular plot of land, we need to consider that the fence will have three sides. Since the area of the land is given as 225 square meters, we can set up the equation length * width = 225.

Now, let's list each set of possible dimensions:

a. Length = 15 m, Width = 15 m

b. Length = 10 m, Width = 25 m

c. Length = 20 m, Width = 5 m

d. Length = 5 m, Width = 15 m

Therefore, the sets of possible dimensions for the rectangular plot of land are a. Length = 15 m, Width = 15 m and c. Length = 20 m, Width = 5 m.