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vladimir1956 [14]
3 years ago
5

On graph paper, draw four different rectangles that each have an area of 24 square units. Then find the perimeter of each one.

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
4 0

My first rectangle is 1 unit wide and 24 units long. Its area
is 24 square units and its perimeter is 50 units.

My second rectangle is 2 units wide and 12 units long. Its area
is 24 square units and its perimeter is 28 units.

My third rectangle is 3 units wide and 8 units long. Its area
is 24 square units and its perimeter is 22 units.

My fourth rectangle is 4 units wide and 6 units long. Its area
is 24 square units and its perimeter is 20 units.

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Step One
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25 5/7 = 25.714285 repeating. The interior angle is the supplement of this angle.

180 - 25.714285 = 154.2857
The formula relating the number of sides and the interior equal angle is

interior equal angle = 180 ( 1 - 2/n) where n is the number of sides. (Google equiangular polygon to find this formula.)

154.2857 / 180 = 1 - 2/n) 
0.8571428 = 6/7 = 1 - 2/n
1/7 = 2/n
n = 14 sides
This figure is regular as well as equiangular.
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