The area of a rectangular patio is 14 5/ 8 square meters. The width of the patio is 3 1/4 meters. What is the length? Enter your answer as a mixed number in simplest form. The length of the patio is meters.

4 1/2 m

Step-by-step explanation:

Area of the patio = 14 5/8 m²

Width = 3 1/4m

Length = ?

Area of the patio = length ×width

Substitute

14 5/8 = 3 1/4 × L

Convert to improper fractions

117/8 = 13/4 L

Cross multiply

8 ×13L = 117×4

2 ×13L= 117

2×L = 9

2L = 9

L = 9/2

L. = 4 1/2 m (in mixed fraction)