Math Equation Response Question
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?
Use the on-screen keyboard to type the answer in the box below.
$$
First, we need to find the total area of the vegetable garden in square feet.
Since 1 yard is equal to 3 feet, the dimensions of the garden are 4 yards x 6 yards.
So, the dimensions in feet are 4 yards x 3 feet = 12 feet and 6 yards x 3 feet = 18 feet.
Therefore, the total area of the vegetable garden is 12 feet x 18 feet = 216 square feet.
Next, we divide the total area by the rate at which Gary can weed.
Gary can weed 3 square feet in 45 seconds. So, he can weed 1 square foot in 45 seconds/3 = 15 seconds.
To find the time it would take Gary to weed the entire garden, we multiply the total area by the time it takes to weed 1 square foot.
So, the time it would take Gary to weed the entire garden is 216 square feet x 15 seconds = 3240 seconds.
Finally, we convert the time to minutes.
There are 60 seconds in a minute, so 3240 seconds/60 = 54 minutes.
Therefore, it would take Gary 54 minutes to weed his entire vegetable garden.
To solve this problem, we can first find the area of the vegetable garden in square feet:
Area = Length * Width
Area = 4 yards * 6 yards
Area = 24 square yards
Since 1 yard equals 3 feet, we can convert the area to square feet:
Area in square feet = Area in square yards * (3 feet/1 yard)^2
Area in square feet = 24 square yards * (3 feet)^2
Area in square feet = 24 square yards * 9 square feet
Area in square feet = 216 square feet
Next, we can calculate how many 3 square feet patches are in the entire garden:
Number of patches = Area in square feet / 3 square feet
Number of patches = 216 square feet / 3 square feet
Number of patches = 72 patches
Finally, we can find out how long it will take Gary to weed the entire garden:
Time = Number of patches * Time per patch
Time = 72 patches * 45 seconds
Time = 3240 seconds
Since there are 60 seconds in 1 minute, we can convert the time to minutes:
Time in minutes = Time in seconds / 60 seconds
Time in minutes = 3240 seconds / 60 seconds
Time in minutes = 54 minutes
Therefore, it will take Gary 54 minutes to weed his entire vegetable garden.
To solve this question, we need to find the total area of Gary's vegetable garden.
First, let's convert the dimensions of the garden from yards to feet.
We know that 1 yard is equal to 3 feet.
So, the length of the garden in feet = 4 yards x 3 feet/yard = 12 feet
And the width of the garden in feet = 6 yards x 3 feet/yard = 18 feet
To find the total area of the garden, we multiply the length and width:
Area = length x width = 12 feet x 18 feet = 216 square feet
We are given that it takes Gary 45 seconds to weed 3 square feet. Now, we need to find out how many times 3 square feet goes into 216 square feet.
216 square feet รท 3 square feet = 72
This means that Gary needs to weed the garden 72 times.
Now, we need to find the total time it will take Gary to weed the entire garden.
Time = number of times x time per repetition
= 72 x 45 seconds
To convert this to minutes, we divide the total time by 60 seconds:
Time in minutes = (72 x 45 seconds) / 60 seconds = 54 minutes
Therefore, it will take Gary 54 minutes to weed his entire vegetable garden.