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Surface area: How much canvas is needed to make an a-frame tent that is 4 ft high with a rectangular floor 6 ft wide and 9 ft long?

Surface area: How much canvas is needed to make an a-frame tent that is 4 ft high-example-1

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Answer:

Explanation:

To calculate the surface area of an A-frame tent with a rectangular floor, you need to find the area of each of its three faces: the front, the back, and the roof.Assuming that the A-frame tent has a symmetrical design, the front and the back will be identical triangles with a base of 6 feet and a height of 4 feet. To find the area of one of these triangles, you can use the formula for the area of a triangle: A = 1/2 * base * height. Therefore, the area of one of the triangular faces is:A_front/back = 1/2 * 6 ft * 4 ft = 12 ft²The roof of the A-frame tent is also a triangle, but with a base of 9 feet and a height that is half of the tent's height (since the tent is symmetrical). So, the height of the roof triangle is 2 feet, and its area is:A_roof = 1/2 * 9 ft * 2 ft = 9 ft²To find the total surface area of the tent, you simply need to add up the areas of the three faces:Total surface area = 2 * A_front/back + A_roof

= 2 * 12 ft² + 9 ft²

= 33 ft²Therefore, you would need at least 33 square feet of canvas to make the A-frame tent described.

User Victor Ian
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