Question

Yossi used to have a square garage with 358 ft*2 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 now? What was the increase in the length of one side?

Answer 1

The length of one side of the larger garage is approximately 23.15 ft. The increase in the length of one side is approximately 4.23 ft.

Step-by-step explanation:

To find the length of one side of the garage now, we need to calculate the square root of the increased floor space. The original floor space of the garage was 358 ft2.

Since the new floor space is 50% more, we can multiply the original floor space by 1.5: 358 ft2 x 1.5 = 537 ft2.

The length of one side of the larger garage is the square root of the new floor space: √537 ft2 ≈ 23.15 ft.

To find the increase in the length of one side, we need to subtract the length of one side of the original garage from the length of one side of the larger garage.

The length of one side of the original garage is the square root of the original floor space: √358 ft2 ≈ 18.92 ft.

The increase in the length of one side is the difference between the two lengths: 23.15 ft - 18.92 ft = 4.23 ft.

Answer 2

Increase in the length of one side = 3.8 ft

Step-by-step explanation:

Yossi has garage whose area is 280 ft²

After rebuilt their is increment in area by 50%

New Area = 280 × 150% = 420 ft²

Also we know that Area of Square = (Length) × (Length)

⇒ Length of Newly built garage = √420 = 20.5 ft

and Length of Originally garage = √280 = 16.7 ft

⇒ Increase in the length of one side = 20.5 - 16.7 = 3.8 ft

HOPE THIS HELPS!!!!!!!!!!! !!!!!!!!!!!!!!