bobs garden is a 20 ft times 10 ft rectangle . bob plants tomatoes in half of his garden :radishes in 1/4 of the remander ,then cucmbers in 1/2 of what is left the last area is planted in peppers . what part of the garden is planted in peppers?
To find out what part of the garden is planted in peppers, we need to follow the given steps and calculate the remaining area step by step.
1. The total area of Bob's garden is a rectangle measuring 20 ft by 10 ft, which equals 200 square feet (20 ft * 10 ft = 200 sq ft).
2. Bob plants tomatoes in half of his garden. Since half of the garden is planted with tomatoes, the area of the tomatoes is 200 sq ft / 2 = 100 sq ft.
3. The remainder after planting tomatoes is 100 sq ft (the total area minus the tomato area).
4. Bob plants radishes in 1/4 of the remainder. To calculate the radish area, we need to find 1/4 of the remainder: 100 sq ft * 1/4 = 25 sq ft.
5. The new remainder after planting radishes is 100 sq ft - 25 sq ft = 75 sq ft.
6. Bob then plants cucumbers in 1/2 of what is left. To calculate the cucumber area, we need to find 1/2 of the new remainder: 75 sq ft * 1/2 = 37.5 sq ft.
7. The final remaining area after planting cucumbers is 75 sq ft - 37.5 sq ft = 37.5 sq ft.
8. The last area is planted with peppers, which is equal to the remaining area of 37.5 sq ft.
Therefore, the part of the garden that is planted in peppers is 37.5 square feet.
tomatoes: 1/2
>> 1 - 1/2 = 1/2
radishes: (1/4) * (1/2) = 1/8
>> 1/2 - 1/8 = 3/8
cucumbers: 1/2 * 3/8 = 3/16
>> 3/8 - 3/16 = 3/16
peppers: 3/16
Check my math.