Create two different rectangles with an area of 12...

Question

1. Create two different rectangles with an area of 12 square centimeters and a perimeter of 16 centimeters.

1. What is the area of a rectangle with a Length of 5 Cm and Width of 4 CM. What did you do to get area?

1. What is the perimeter of the same rectangle? What did you do to get perimeter?

3) Mrs. Karen decides to build a small snow shelter for her children to wait in before the school bus arrives in the morning. She only has enough wood for a total perimeter of 20 feet. 

Show all the ways to make the wood shelter. 

Length	Width	area	perimeter

What dimensions should she choose to have the greatest area in her shelter?

B) What dimensions should she choose to have the least area in her shelter?

Answer 1

Area of a rectangle is L x W. Perimeter is 2L + 2W

L x W = 12, 2L + 2W = 16

L = 12/W

2(12/W) + 2W = 16

24 + 2W^2 = 16W

2W^2 - 16W + 24 = 0

(2W - 4)(W - 6) = 0

W = 2, 6

Plugging in either of these values for W in either equation will get you the opposite side L. In other words, 2 and 6 are the two dimensions either can be the length or width.