Question 4:

A landscape architect is designing a rectangular courtyard for a residential complex. The length of the courtyard is 25 meters, and the width is 15 meters. The architect plans to install a grass lawn in the courtyard. If the grass needs to be mowed every two weeks and it takes 4 hours to mow the entire lawn, how many hours will be spent mowing the lawn in a year?

Answer: To find the total number of hours spent mowing the lawn in a year, we need to calculate the number of times the grass needs to be mowed and multiply it by the time taken to mow the lawn each time.

First, let's calculate the area of the lawn: Area of the lawn = length × width Area of the lawn = 25 meters × 15 meters Area of the lawn = 375 square meters

Next, let's calculate the number of times the grass needs to be mowed in a year: Since the grass needs to be mowed every two weeks, there are 52 weeks in a year, so the number of mowings per year is 52 weeks / 2 weeks = 26 mowings.

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Finally, let's calculate the total number of hours spent mowing the lawn in a year:

Total time spent mowing the lawn = number of mowings per year × time taken to mow the lawn each time Total time spent mowing the lawn = 26 mowings × 4 hours per mowing Total time spent mowing the lawn = 104 hours

Therefore, the total number of hours spent mowing the lawn in a year is 104 hours.

Question 5:

A landscape architect is designing a park that includes a circular fountain. The diameter of the fountain is 6 meters. The architect plans to install a circular seating area around the fountain, which extends 2 meters outward from the edge of the fountain. What is the total area of the seating area?

Answer: To find the area of the seating area, we need to calculate the area of the larger circle formed by the outer edge of the seating area and subtract the area of the smaller circle formed by the edge of the fountain.

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