Answer:
The minimum possible area of the rectangle is 19.25 m² and the maximum possible area of the rectangle is 29.25 m².
Step-by-step explanation:
Given:
The dimensions of rectangle are 6m by 4m.
Now, to find the minimum and the maximum possible areas.
So, for the minimum area the dimensions would be 5.5m by 3.5m.
Now, by putting the formula of finding the area:
Area = 5.5m by 3.5m
![Area = 19.25 m^(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/u94r32imff1uclbn0f8cqh2pah5y2too8o.png)
Now, for the maximum area we again put the formula and the dimensions would be 6.5m by 4.5m:
Area = 6.5m by 4.5m
![Area = 29.25m^(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/cy7p40ph7oczk575j3nrarsrnwckz0few4.png)
Therefore, the minimum possible area of the rectangle is 19.25 m² and the maximum possible area of the rectangle is 29.25 m².