A PLOT OF RECTANGULAR LAND HAS A WIDTH OF 20 FEET.THE TOTAL SQUARE YARDS ARE 396.WHAT IS THE LENGTH OF THE PLOT
there are 3 ft per yard
there are 9 ft^2 per yard^2
w = (20/3) yards
so
(20/3) L = 396
L = 3 * 396 / 20 yards
multiply by 3 if you want feet
To find the length of the plot, we need to convert the measurements to the same unit. Since the problem provides the width in feet and the total square yards, let's convert the dimensions to yards.
1 yard is equal to 3 feet, so the width of the plot in yards is:
20 feet ÷ 3 = 6.67 yards (rounded to the nearest hundredth)
Now that the width is in yards, we can calculate the length of the plot. The area of a rectangle is calculated by multiplying the length by the width. In this case, the area is given as 396 square yards, and the width is 6.67 yards.
Let's set up the equation:
Length × Width = Area
Length × 6.67 = 396
Now we can solve for the length:
Length = 396 ÷ 6.67
Length ≈ 59.42 yards (rounded to the nearest hundredth)
Therefore, the length of the rectangular plot is approximately 59.42 yards.