Answer:
L = 36 yd
Step-by-step explanation:
Given the area of a rectangle of 1044 yd², and a width of 29 yards:
Using the formula for finding the area of a rectangle, A = L × W, algebraically solve for the length (L):
A = L × W
where:
A = area of a rectangle = 1044 yd²
L = length of a rectangle
W = width of a rectangle = 29 yd
Divide both sides by W to isolate L:
[tex]\displaystyle\mathsf{\frac{A}{W}\:=\:\frac{L\:\times\:W}{W}}[/tex]
[tex]\displaystyle\mathsf{L\:=\frac{A}{W}}[/tex]
Substitute the values for the area and the width of a rectangle:
[tex]\displaystyle\mathsf{L\:=\frac{1044\:yd^2}{29\:yd}}[/tex]
L = 36 yd
Therefore, the length of a rectangle is 36 yards.
