A farmer has four plots of land,each with an area of 12 acres. He divides them into a number of parts each with an area of 8/9 of an acre how many parts are there on the four plots of land

Verified Answer :

total there are 54 parts. however, there are 13 1/2 parts on each plot.

Answer:

The number of parts on the four plots are 40.5

Step-by-step explanation:

The number of plots is 4 and each has an area of 12 acres, thus the total area is 36 acres.

Dividing them into a number, n, of parts gives;

                    \(\frac{36}{n}\)

where n is the number of parts.

               \(\frac{36}{n}\) = \(\frac{8}{9}\) of an acre

Thus,

                 n = (36 × 9) acres ÷ 8 acres

                     =  324 ÷ 8

                      = 40.5

Thus it has been divided into 40.5 parts.