Question

Sue used to have a square garage with 286 ft squared of floor space. He recently built an addition to it. The garage is still a​ square, but now it has​ 50% more floor space. What was the length of one side of the garage​ originally? What is the length of one side of the garage​ now? What was the percent increase in the length of one​ side?

Answer 1

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%