SOLUTION: A parallelogram has a base length of 3 feet and a height of 7 feet. What is its area? Find the surface area of a rectangular prism with a base that is 4 x 8 and a height that

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Question 582253: A parallelogram has a base length of 3 feet and a height of 7 feet. What is its area?
Find the surface area of a rectangular prism with a base that is 4 x 8 and a height that is 5.
Can someone please answer both? (: Please and ThankYou

Answer by KMST(5328)   (Show Source): You can put this solution on YOUR website!
The area of a parallelogram is calculated by multiplying base length times height.
The area of a parallelogram with a base length of 3 feet and a height of 7 feet is

The surface area of a prism is calculated by adding the base surface area times two (for the 2, bottom and top, bases), plus the surface area of the sides.
The surface area of the sides can be calculated by multiplying the perimeter of the base times the height of the prism. That is the area of a rectangle that would wrap all around the sides of the prism.
The perimeter, P, of a rectangle is the sum of the length of all the sides. You could add length, l, and width, w, different ways:
or
or

The perimeter of a rectangular base that is 4 x 8 is

The lateral surface area (surface area of the sides) of a rectangular prism with a base that is 4 x 8 and a height that is 5 is

The surface area of a base that is 4 x 8 is

The total surface area of a rectangular prism with a base that is 4 x 8 and a height that is 5 is


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