Answer:
Length = 37.5 inches
Explanations:
Let the width of the rectangle be W
Let the length of the rectangle be L
The width of the rectangle varies with the length of the rectangle.
W α L
Introducing a constant of proportionality, k. The relationship becomes:
W = kL
W = 8 inches when L 15 inches
8 = k x 15
8/15 = k
k = 8 / 15
The relationship becomes:
W = (8/15) L..........(1)
If the width is 20 inches, that is W = 20 inches
Substitute the value of W into equation (1)
20 = (8 / 15) L
L = (15 / 8) x 20
L = 15 x 2.5
L = 37.5 inches