Answer:
New Length = 20.71 feet
Original Length = 16.91 feet
22.47%
Step-by-step explanation:
Original area of the square garage = 286 ft squared
Addition of 50% more space
New area of the garage = 286 + .50(286)
= 286 + 143
= 429 square feet
What was the length of one side of the garage originally?
Original area of the square garage = 286 ft squared
Area of a square = length^2
286 = length^2
Find the square root of both sides
√286 = √length^2
Original Length = 16.91 feet
What is the length of one side of the garage now?
New area of the garage = 429 square feet
Area of a square = length^2
429 = length^2
Find the square root of both sides
√429 = √length^2
New Length = 20.71 feet
What was the percent increase in the length of one side?
(New length - old length) / old length × 100
= (20.71 feet - 16.91 feet) / 16.91 feet × 100
= 3.8 feet / 16.91 feet × 100
= 0.2247 × 100
= 22.47%
