Answer:
Maximum possible area= 74.75 km^2
Minimum possible area= 57.75 km^2
Step-by-step explanation:
We are given the dimensions of rectangle as:
6 km by 11 km.
- We know that the greatest possible area of a rectangle is calculated by finding the area using the maximum possible dimensions of a rectangle.
We know that the greatest possible error in length and width of a rectangle are 0.5 km.
Hence, max possible dimensions of rectangle are:
(6+0.5) km by (11+0.5)km
i.e. 6.5 km by 11.5 km.
Hence, the maximum possible area of rectangle is calculated as:
6.5×11.5
= 74.75 km^2
- Similarly We know that the smallest possible area of a rectangle is calculated by finding the area using the minimum possible dimensions of a rectangle.
We know that the greatest possible error in length and width of a rectangle are 0.5 km.
Hence, minimum possible dimensions of rectangle are:
(6-0.5) km by (11-0.5)km
i.e. 5.5 km by 10.5 km.
Hence, the minimum possible area of rectangle is calculated as:
5.5×10.5
= 57.75 km^2.
Hence,
Maximum possible area= 74.75 km^2
Minimum possible area= 57.75 km^2
