Hello, can anyone help me on the question below?
A square and an equilateral triangle have the same area. What is the ratio of the perimeter of the square to the perimeter of the triangle?
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Let the area of square be 25, area of the triangle will also be 25.elimenda wrote:Hello, can anyone help me on the question below?
A square and an equilateral triangle have the same area. What is the ratio of the perimeter of the square to the perimeter of the triangle?
Area of Square
side^2 = 25, side = 5
Area of equilateral Triangle
(sqrt 3 * Side^2)/4 = 25
side = sqrt [100/sqrt3] => 10/4th root 3
Perimeter of square
4*5 = 20
Perimeter of Triangle
3*10/4th root 3 = 30/ 4th root 3
Ratio = 20 : 30 /4th root 3
2 4th root 3: 3
Whats the OA?
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My answer is also 2 4th root3 :3
area of asquare= area of equvilateral triangle
S^2 = sq rt3/4 a^2
a = 2S/4th root 3
perimeter od square -= perimeter of triangle
4S= 3* 2S/4th root 3
= 2 4th root3 :3
area of asquare= area of equvilateral triangle
S^2 = sq rt3/4 a^2
a = 2S/4th root 3
perimeter od square -= perimeter of triangle
4S= 3* 2S/4th root 3
= 2 4th root3 :3
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