Find the minimum and maximum possible areas of a rectangle measuring 6 km by 11 km.
a. Minimum area: 57.75 km2 maximum area: 66 km2
b. Minimum area: 57.75 km2 maximum area: 74.75 km2
c. Minimum area: 66 km2 maximum area: 74.75 km2
d. Minimum area: 74.75 km2 maximum area: 57.75 km2
Answers
Answer:
b. Minimum area: 57.75 km2 maximum area: 74.75 km2
Step-by-step explanation:
Find the minimum and maximum possible areas of a rectangle measuring 6 km by 11 km.
a. Minimum area: 57.75 km2 maximum area: 66 km2
b. Minimum area: 57.75 km2 maximum area: 74.75 km2
c. Minimum area: 66 km2 maximum area: 74.75 km2
d. Minimum area: 74.75 km2 maximum area: 57.75 km2
For the given dimension of a rectangle we can have a specific area
Area = Length * Width
=> Area = 6 * 11 = 66 km²
so none of the option is correct
If we say having same perimeter what could be maximum area
then
Perimeter = 2(11 + 6) = 34
Square has max area for a given perimeter
34/4 = 8.5 km side square
Area = 8.5 * 8.5 = 72.25 km²
Considering error of 0.5 km max
11 - 10.5 to 11.5
6 = 5.5 to 6.6
Max Area = (11.5)(6.5) = 74.75 km²
Min Area = (10.5)(5.5) =57.75 km²