# math

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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.

• math -

Area = Length x Width
12750 = length(50) , 150 feet = 50 yards
length = 12750/50
= ....

• math -

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

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