9. The perimeter of an equilateral triangle and that of square are equal, find the ratio of their areas.,
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Step-by-step explanation:
this is the ans 4:√3
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Answer:
perimeter of equilateral triangle= a+a+a=3a
a=side of triangle
perimeter of square
b+b+b+b=4b
b= side of square
given
perimeter of both are same
thus
3a=4b
a/b=4/3
area of
equilateral triangle=√3/4 × a²
square=b²
ratio of areas
(√3/4)a²/b²=√3a²/4b²= √3/4 × a/b × a/b =√3/4×16/9
= (4√3)/9
multiply and divide by √3
thus
(4×3)/9×√3
thus
4/3√3
thus option C
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