Question

A large field measures 70 feet by 25 feet. If the field will be divided into equal square garden plots, what size whoud the largest possible plot be with sides of whole number length?

Answer 1

5 feets

Explanation:

Give the field dimension :

70 feets by 25 feets

The largest possible size if field is divided into squares :

Obtain the greatest common factor of the length and width :

Factors of 70 : 1, 2, 5,7,14, 10, 35

Factors of 25 : 1, 5, 25

The greatest common factor = 5

Hence, the largest possible square plot will have a side length of 5 feets