Which one of the following has a greater perimeter than the rest? (a) A square with an area of 36 sq.cm
Which one of the following has a greater perimeter than the rest?
(a) A square with an area of 36 sq.cm
(b) An equilateral triangle with a side of 9 cm
(c) A rectangle with 10 cm as length and 40 sq cm as area
(d) A circle with a radius of 4 cm
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(c) (a) Side of the square = √36 = 6 cm
Perimeter of the square = 4(6) = 24 cm
(b) Perimeter of the triangle = 9 + 9 + 9 = 27 cm
(c) Area of the rectangle = 40
lb = 40
b = 40/10 = 4
Perimeter = 2(l + b) = 2(4 + 10) = 28 cm
(d) Perimeter of the circle = 2πr
= 2(3.14)(4) = 25.12 cm
Clearly, Perimeter of the rectangle is maximum.
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