Which of the following has the greatest perimeter? - ProProfs Discuss
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Which of the following has the greatest perimeter?



A. A square with an area of 36 square units.
B. An equilateral triangle with a side of 9 units.
C. A rectangle with 10 units length and 40 square units area.
D. A right triangle whose one side is 4 units and hypotenuse 5 units.
E. All the given figures have the same perimeter.
Asked by Lewis, Last updated: Dec 05, 2017

This question is part of

SAT Mathematics Practice Test 4

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1 Answer

John Smith

John Smith

Answered on Sep 09, 2016

A rectangle with 10 units length and 40 square units area. -option a is not correct. area of the square = 36 square units = s2 or s = 6 units. perimeter of the square= 4s = 4 6 units = 24 units. option b is not correct. side of the equilateral triangle = a = 9 units. perimeter of an equilateral triangle = 3a = 3 9 units = 27 units. option c is correct. length of the rectangle = 10 units. area of the rectangle = 40 square units. width of the rectangle = 40/10 units = 4 units. perimeter of the rectangle = 2(l + w) = 2(10 + 4) units = 2 14 = 28 units. option d is not correct. in a right triangle c2= a2 + b2 or 52 = 42 + b2 or b2 = 25 - 16 or b2 = 9 or b = 3. perimeter of the triangle = (3 + 4 + 5) units = 12 units. option e is not correct as is observed no two of the given figures have the same perimeter.
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