Question

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

Answer 1

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

Answer 2

The answer you seek happens to be the first one, A.