Without drawing the rectangles, think about and then list all the possible rectangles with an area of 25 square units.
a) Sketch the rectangle you think will have the largest perimeter. Label its length, width, area, and perimeter. Describe its shape.
b) Sketch the rectangle you think will have the smallest perimeter. Describe its shape. Label its length, width, area, and perimeter.
2007-08-23 17:08:04 · 5 answers · asked by pepmey09 1 in Science & Mathematics ➔ Engineering
b) A perfect square with 5 units on each side would have the smallest perimeter.
Length = 5
Width = 5
Area = L x W = 25
Perimeter = L + L + W + W = 20
a) The rectangle with the greatest perimeter and an area of 25 square units becomes a limit problem. Imagine a long skinny rectangle with a length of 25 and a width of 1. The perimeter would be 25 + 25 + 1 + 1 = 52. Area = 25 x 1 = 25
However what if the rectangle was twice as long, and only half as wide? Area = 50 x 1/2 = 25. Perimeter = 50 + 50 + 1/2 + 1/2 = 101.
Now what if the rectangle was 25,000 units long, but only 0.001 units wide? The area is still 25, but the perimeter is now 50,000.002 units.
What if the rectangle was only one millionth of a unit wide, but 25,000,000 units long? You could still have an area of 25 units, but the perimeter would be 50,000,000.000002 units.
2007-08-23 18:35:07 · answer #1 · answered by Thomas C 6 · 0⤊ 0⤋
Assume that they only want rectangles with sides made up of whole numbers. Otherwise there are an infinite number of answers.
Only two rectangles available with areas of 25 square units. One is the square, 5 units by 5 units. The other is the rectangle with 1 unit by 25 units. So ---
a- 1 unit by 25 units, perimeter = 1+25+1+25=52 units
b- 5 units by 5 units ( a square), perimeter = 5+5+5+5=20 units
I hope this helps
2007-08-24 01:36:05 · answer #2 · answered by Mugwump 7 · 1⤊ 0⤋
25 square units, the only numbers that can give you 25 multiplied by each other are: 5x5 , 12,5 x 2 (numbers that give you exactly 25) so,
1st rectangle would be : 5 x 5
area = 25 perimeter = 10 units
2nd rectangle would be: w=2 lenght=12,5
area = 25 perimeter 14,5
I hope this helps you!
2007-08-24 00:27:45 · answer #3 · answered by japeve 2 · 0⤊ 0⤋
That is a strange question. You could have a rectanle that is 1nm wide and maybe miles long. A square unit could be a pixel size or an acre! That seems like one of those questions where (if mathmatically correct) any answer will do and it was just to make you think to understand the concept.
2007-08-24 05:00:16 · answer #4 · answered by Jerome54 5 · 0⤊ 0⤋
uhhhhh..
whose tha rectangle again???
2007-08-24 00:19:19 · answer #5 · answered by Anonymous · 0⤊ 1⤋