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.
ok i cant tell where or what the answer is soooo what does one do? 😐😭
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
To find the length of the field in yards, we need to convert the given width from feet to yards.
We know that 1 yard is equal to 3 feet. Therefore, to convert 150 feet to yards, we divide it by 3:
150 feet / 3 = 50 yards
Now that we have the width in yards, we can find the length of the field.
The formula for the area of a rectangle is:
Area = Length × Width
We are given the area as 12,750 square yards and the width as 50 yards. Substituting these values into the formula, we have:
12,750 = Length × 50
To find the length, we need to isolate it by dividing both sides of the equation by 50:
12,750 / 50 = Length
Simplifying the calculation gives us:
255 = Length
Therefore, the length of the field is 255 yards.