The area of a regular hexagon is 144 m^2. What is the new area of the regular hexagon if the apothem were doubled and the perimeter is tripled?

Q: Suppose you want to build a rectangular deck in your back yard. You want it to be 6 meters wide and…

A: topic - area of rectangle

Q: Triangle ABC has side AC= 4 meters and angle BAC= 32º. Square ABDE shares a side with ABC and has…

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Q: A gazebo is built in the shape of a regular octagon. Each side is 8ft long and the enclosed area is…

A: Given,          A gazebo is built in the shape of regular octagon . Each side is 8 ft long…

Q: The bases are regular hexagons. The area of each is about 41.6 cm^2. Find the sum of their areas.…

A: The area of the top and the base is 41.6 cm2 The area of the 6 walls is the area of the rectangles…

Q: A three-dimesnional plant box has an area of (27y^3 +125). If the height measures (3y+5) units, what…

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Q: A right cylinder can is 78 cubic inches. Determine radius and height of container that requires…

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Q: A farmer has 300 ft of fencing and wants to enclose a rectangular area of 3600ft^2 what dimensions…

A: A farmer has 300ft of fencing and wants to enclose a rectangular area of 3600 ft2.

Q: The base of a triangle is 2cm more than the height. The area of the triangle is 12cm^2.Find the…

A: Area of the triangle

Q: The area of a trapezoid is 42 in^2. What is the new area of the trapezoid if the height were tripled…

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Q: In a regular n-gon, the area is 700 cm^2, the apothem is 10 cm, and each side is 7 cm. The perimeter…

A: The formula for the area of a n-gon is 12ap ,  where a=apothem and p=perimeter. Therefore by the…

Q: The dimensions of a door are 2ft wide by 10ft 6in high. If the same amount is added to each…

A: Present dimension of door is width = 2 ft and height = 10 ft 6 inch= 10.5 ft. Area of door is given…

Q: A regular square pyramid has an altitude of 12m and a volume of 196m^3. Determine the slant height…

A: Follow the procedure given below.

Q: A parabolic goblet with a cup that is as wide as it is tall holds 1.74r^3 oz of water when it is…

A: A parabolic goblet with a cup that is as wide as it is tall holds 1.74r3 oz of water when it is…

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Q: Find the dimensions of the largest side of a rectangular box that can be fitted to a triangular…

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Q: 1. The length of the swimming pool is 2-meters more than its width. If the area of the pool is no…

A: Let x denotes the width of the pool. Given that the area of the pool is no less than 48. This…