Question

Suppose a farmer buys another 1/2 square mile of land and divides all his land into square field 1/4 mile long and 1/4 mile wide. How many fields will he have?

Answer 1

Hello,

We have the area of the total land, so we want to find the area of each smaller square field so we can divide the large area by the small area to obtain the number of fields.

To find the area of a square, the formula $s^{2}$ is used, where s is the length of one side of the square.

In this case, s = 1/4, so the area is = $(1/4)^{2} = 1/16$ square miles

If we have 1/2 square miles of land divided into 1/16 square mile fields, then we have (1/2) / (1/16) = (1/2) * (16/1) = (16/2) = 8 fields.

He will have 8 fields.

Hope this helps!