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A unit square and a rectangle have the same perimeter. What is the length of the rectangle if its area is 75% of the square's area?

User Astre
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2 Answers

5 votes

Answer:

The rectangle is 9 by 3

The square is 6 by 6


User Naga
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3 votes

Answer:

Explanation:

Solution:

Denote the length of the rectangle as x.

The perimeter of the unit square (or rectangle) is 4

Make an equation of the area of the rectangle: (2−x)·x=0.75 ⇒ x2−2x+0.75=0 ⇒ x=0.5, x=1.5

Answer: The length will be 1.5 units

User Mirushaki
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