A rectangular flower bed has an area of 3 1/2 square yards. The width of the flower bed is 3/4 yard. What is the length of the rectangular flower bed?
(3/4) x = 3 1/2
3 x / 4 = 7/2
3 x = 14
x = 14/3 = 4 2/3
You are welcome.
Damon, why did you multiply 7 and 2 to get 14 when the "/" between 7 and 2 represents dividing? Please explain to me because I am confused.
What’s x
To find the length of the rectangular flower bed, we can use the formula for the area of a rectangle:
Area = Length * Width
Given that the area of the flower bed is 3 1/2 square yards and the width is 3/4 yard, we can substitute these values into the formula:
3 1/2 = Length * 3/4
To simplify the calculation, we need to convert the mixed number 3 1/2 into an improper fraction:
3 1/2 = (2*3 + 1)/2 = 7/2
Now we have the equation:
7/2 = Length * 3/4
To solve for Length, we can isolate it by undoing the multiplication. To do this, we multiply both sides of the equation by the reciprocal of 3/4, which is 4/3:
(7/2)*(4/3) = Length
Multiplying the numerators gives us 28, and multiplying the denominators gives us 6:
28/6 = Length
Now, we can simplify the fraction 28/6 by dividing both the numerator and denominator by their greatest common divisor, which is 2:
28 ÷ 2 / 6 ÷ 2 = 14/3 = Length
Therefore, the length of the rectangular flower bed is 14/3 yards.