math
posted by Emma on .
The area of a rectangular field is 12,750 square yards. The width is 150 feet. What is the length of the field in yards.

Area = Length x Width
12750 = length(50) , 150 feet = 50 yards
length = 12750/50
= .... 
Given:
Area of rectangular field = 12750 square yards
Width = 150 feet
<< Find the length of the field in yards. >>
Your conversion factor: 3 feet = 1 yard
Width = 150 feet = 150/3 = 50 yards
Therefore,
Area = 12750 = L(50)
where
L = length of field = 12750/50
L = 255 yards
<< What is the length of the field in feet? >>
L = 255 yards * 3 feet/yard
L = 765 feet
< .What is the area of the field in square feet? >>
Since there are 3 feet in 1 yard, then there are 9 sq ft in 1 sq yard. Therefore,
12750 sq yards * 9 sq feet/sq yd = 114,750 sq feet