To find the total surface area of the bench, we need to add up the surface area of all the individual components.
1. Seat:
- The seat is a rectangle with dimensions 5 feet by 2 feet.
- The formula for the surface area of a rectangle is (length x width).
- Surface area of seat = 5 feet x 2 feet = 10 square feet.
2. Backrest:
- The backrest is also a rectangle with dimensions 5 feet by 1 foot.
- Surface area of backrest = 5 feet x 1 foot = 5 square feet.
3. Armrest:
- The armrests are two rectangles each with dimensions 2 feet by 1 foot.
- Surface area of one armrest = 2 feet x 1 foot = 2 square feet. Since there are two armrests, the total surface area of both armrests is 2 square feet x 2 = 4 square feet.
4. Legs:
- The legs are four rectangles each with dimensions 2 feet by 1 foot.
- Surface area of one leg = 2 feet x 1 foot = 2 square feet. Since there are four legs, the total surface area of all legs is 2 square feet x 4 = 8 square feet.
Adding up all the individual components:
Total surface area = Surface area of seat + Surface area of backrest + Surface area of armrests + Surface area of legs
Total surface area = 10 square feet + 5 square feet + 4 square feet + 8 square feet
Total surface area = 27 square feet
Therefore, the total surface area of the bench is 27 square feet.
Find the total surface area of the bench. Show all work
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