Gary is weeding his vegetable garden.
It takes him 45 seconds to weed 3 square feet.
The vegetable garden is in the shape of a rectangle that is 4 yards by 6 yards.
How many MINUTES will it take Gary to weed his entire vegetable garden?
First, convert the dimensions of the vegetable garden from yards to feet. Since 1 yard is equal to 3 feet, the garden is 4 yards * 3 feet = <<4*3=12>>12 feet by 6 yards * 3 feet = <<6*3=18>>18 feet.
Next, find the area of the vegetable garden by multiplying the length by the width: 12 feet * 18 feet = <<12*18=216>>216 square feet.
Then divide the total area of the garden by the area Gary can weed in 45 seconds: 216 square feet / 3 square feet/45 seconds = 8
Then convert the 8 45-second periods to minutes: 8 * 45 seconds/minute = <<8*45=360>>360 seconds / 60 seconds/minute = <<360/60=6>>6 minutes. Answer: \boxed{6}.
To find out how many minutes it will take Gary to weed his entire vegetable garden, we need to calculate the total area of the garden and then divide it by the rate at which Gary can weed.
First, let's convert the dimensions of the garden from yards to feet. Since 1 yard is equal to 3 feet, the length of the garden will be 4 yards * 3 feet/yard = 12 feet, and the width will be 6 yards * 3 feet/yard = 18 feet.
Next, we calculate the total area of the garden by multiplying the length and width: 12 feet * 18 feet = 216 square feet.
Now we divide the total area of the garden by the rate at which Gary can weed. We know that it takes him 45 seconds to weed 3 square feet, so it would take him 216 square feet / 3 square feet = 72 times to completely weed the garden.
Finally, since there are 60 seconds in a minute, we need to convert the time from seconds to minutes. So we take the number of times it takes Gary to complete the task (72) and multiply it by the time it takes him per task (45 seconds) and then divide by 60 to get the answer in minutes: (72 * 45) / 60 = 54 minutes.
Therefore, it will take Gary 54 minutes to weed his entire vegetable garden.
First, we need to find the total area of the vegetable garden. The formula to calculate the area of a rectangle is length multiplied by width.
The length of the garden is 4 yards, and the width is 6 yards. So, the total area is 4 yards * 6 yards = 24 square yards.
Next, we need to convert the area from square yards to square feet. Since 1 yard is equal to 3 feet, the area in square feet will be 24 square yards * 3 feet/square yard * 3 feet/square yard = 216 square feet.
We know that it takes Gary 45 seconds to weed 3 square feet. So, to find out how long it will take him to weed the entire garden, we can divide the total area by 3 and multiply it by 45.
216 square feet / 3 square feet = 72.
72 * 45 = 3,240 seconds.
To convert seconds to minutes, divide by 60.
3,240 seconds / 60 = 54 minutes.
So, it will take Gary 54 minutes to weed his entire vegetable garden.