A rectangular lawn measuring 8m by 5m is surrounded by a flower bed of uniform width. The combined area of the lawn and the flower bed is 154^2. What is the width of the flower bed?

10.68 m

Step-by-step explanation:

Step 1: Area of flower bed

Uniform width means that all sides are the same which makes it a square.

Area of flowerbed = L²

Step 2: Area of rectangular lawn

Area of rectangular lawn = Length x width

Length = 8m

Width = 5m

Area of rectangular lawn = 8 x 5

Area of rectangular lawn = 40m

Step 3 : Calculate the width of the flower bed

Combined Area = 154 m²

Area of rectangular lawn + Area of flower bed = Combined Area

40 + L² = 154

L² = 154

L = √114

L = 10.68 m

Therefore, the width of the flower bed is 10.68 m