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

Algebra ->  Triangles -> 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      Log On


   

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) About Me  (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
Area=%283feet%29%2A%287feet%29=+21 square+feet
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:
P=l%2Bw%2Bl%2Bw or
P=2%2Al%2B2%2Aw or
P=2%28l%2Bw%29
The perimeter of a rectangular base that is 4 x 8 is
P=2%2A4%2B2%2A8=8%2B16=24
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
Lateral Area=24%2A5=120
The surface area of a base that is 4 x 8 is
Base Area=4%2A8=32
The total surface area of a rectangular prism with a base that is 4 x 8 and a height that is 5 is
Total Area=2%2A32%2B120=64%2B120=184