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 area of the vegetable garden. The area of a rectangle is found by multiplying the length by the width. In this case, the length is 4 yards and the width is 6 yards.
Area of the vegetable garden = 4 yards * 6 yards = 24 square yards
Since we know that it takes Gary 45 seconds to weed 3 square feet, we need to convert the area of the vegetable garden from square yards to square feet.
1 yard = 3 feet
So, the area of the vegetable garden in square feet is:
24 square yards * (3 feet/1 yard)^2 = 24 square yards * 9 square feet/square yard = 216 square feet
Now we can find the time it takes Gary to weed the entire garden. The time it takes to weed 216 square feet is 45 seconds.
We can set up a proportion:
45 seconds is to 216 square feet as X minutes is to the entire vegetable garden.
45/216 = X/1
X = 45 * 1 / 216
X = 0.2083 minutes
So, it will take Gary approximately 0.2083 minutes to weed his entire vegetable garden.