Answer:
Length of the original square garage = 16.7ft
Length of the new square garage= 20.5ft
Percentage increase in the length of the side = 23%
Step-by-step explanation:
Yossi used to have a square garage with 280 ft? 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?
Area of the original square garage = 280ft²
Area of a square = length²
280ft² = length²
Find the square root of both sides
√280ft² = √length²
16.7ft = length
Length of the original square garage = 16.7ft
Area of the new square garage = 280ft² + 50% of 280ft²
= 280ft² + 0.5 × 280ft²
= 280ft² + 140ft²
= 420ft²
Area of a square = length²
420ft² = length²
Find the square root of both sides
√420ft² = √length²
20.5ft = length
Length of the new square garage= 20.5ft
Percentage increase in the length of the side = (new - old) / old × 100
= (20.5 - 16.7) / 16.7 × 100
= 3.8 / 16.7 × 100
= 0.23 × 100
= 23%
Percentage increase in the length of the side = 23%
