Charla wants to cover a certain rectangular area of her driveway with a picture using chalk. If she completes 2/3 of the area in 1/2 hour, how long will it take her to complete the entire picture?(1 point)
of an hour
If Charla completes 2/3 of the area in 1/2 hour, then it would take her 3/2 times longer to complete the entire picture.
Therefore, it would take her 3/2 * 1/2 = 3/4 of an hour to complete the entire picture. Answer: \boxed{3/4}.
To find out how long it will take Charla to complete the entire picture, we need to determine the time it takes for her to complete 1/3 of the area, since she completes 2/3 of the area in 1/2 hour.
If Charla completes 2/3 of the area in 1/2 hour, then she completes 1/3 of the area in (1/2) / (2/3) hours.
To divide a fraction by another fraction, we multiply the first fraction by the reciprocal of the second fraction. So, (1/2) / (2/3) = (1/2) * (3/2) = 3/4.
Therefore, Charla will take 3/4 of an hour, which is equal to 45 minutes, to complete the entire picture.
To find out how long it will take Charla to complete the entire picture, we can use the information that she completed 2/3 of the area in 1/2 hour.
Let's assume the entire rectangular area is represented by A.
If Charla completed 2/3 of the area in 1/2 hour, then the remaining 1/3 of the area will take the same amount of time to complete.
Therefore, the time required to complete the entire picture is 1/2 hour (for 2/3 of the area) + 1/2 hour (for the remaining 1/3 of the area).
Adding the two halves (1/2 + 1/2) gives us a total time of 1 hour.
So it will take Charla 1 hour to complete the entire picture.