9) A wire when bent in the form of a square encloses an area of 576 m2. Find the largest area enclosed by the same wire when bent to
form equilateral triangle. ( square root of 3 = 1.732)
i. 443 39 m2
ii. 375 m2
Answers
Answered by
0
Answer:
yes
Step-by-step explanation:
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Answered by
0
Step-by-step explanation:
Given, a wire when bent in the form of a square encloses an area of 576 sq. m .
Area of Square=(side)
2
576=(side)
2
side=
576
=24 cm
Perimeter of square =4×side
=4×24
=96 cm.
When same wire is formed into equilateral triangle, then perimeter of square is equals to perimeter of triangle.
∴ Perimeter of equilateral triangle =96 cm
or, 3×side=96 cm
side=
3
96
=32 cm.
Area of equilateral triangle thus formed =
4
3
×(side)
2
=
4
3
×32
2
=256
3
cm
2
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