Answer:
length = 14 ft , width = 10 ft
Explanation:
the ratio of length : width = 7 : 5 = 7x : 5x ( x is a multiplier )
the perimeter (P ) of a rectangle is calculated as
P = 2(length + width )
given P = 48 ft
substitute values for P, length and width into the formula for P
48 = 2(7x + 5x) ← divide both sides by 2
24 = 7x + 5x
24 = 12x ( divide both sides by 12 )
2 = x
Then
length = 7x = 7 × 2 = 14 ft
width = 5x = 5 × 2 = 10 ft