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In Mathematics / High School | 2014-04-10

Alexa drew a rectangle with an area of 36 square centimeters. The rectangle she drew has the smallest perimeter possible for this area. What are the length and width of the rectangle she drew?

Asked by Anonymous

Answer (3)

length=6 width=6 20 charr

Answered by runescapememo8 | 2024-06-10

The **length **is 6 cm and width is 6 cm.
What is Area?
**Area **is the entire amount of **space occupied **by a flat (2-D) surface or an object's shape. The area of a plane figure is the area that its perimeter encloses . The quantity of unit squares that cover a closed figure's surface is its area.
The Formula for **Area **of rectangle
= length x width
We have Alexa drew a rectangle with an **area **of 36 square centimeters.
and, **Perimeter **P = 2L + 2W
P = 2(36/W) + 2W
P = (72/W) + 2W
-72/W² + 2 = 0
-72/W² = -2
W² = 36
W = 6 cm
and, **Length **= 36/6 = 6 cm
Learn more about **Area **here:
https://brainly.com/question/27683633
#SPJ7

Answered by sheenuvt12 | 2024-06-24

The rectangle that Alexa drew with an area of 36 square centimeters and the smallest perimeter has a length of 6 cm and a width of 6 cm, making it a square.
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Answered by sheenuvt12 | 2024-10-01