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Sagot :
Here's the solution :
- Side of the equilateral triangle = x
- Side of square = x + 10
perimeter of equilateral triangle = 3 × x = 3x
perimeter of square = 4 × (x + 10)
now, according to above statement :
permission (square) = 3 × perimeter (triangle)
that is :
- [tex]4(x + 10) = 3 \times 3x[/tex]
- [tex]4x + 40 = 9x[/tex]
- [tex]9x - 4x = 40[/tex]
- [tex]5x = 40[/tex]
- [tex]x = 8[/tex]
therefore, side of triangle = 8 cm
- perimeter (triangle) = 8 × 3 = 24 cm
- side of square = 8 + 10 = 18 cm
- perimeter of square= 18 × 4 = 72 xm
Answer:
Let the side of the equilateral triangle = x
so the side of the square = x+10
The perimeter of the triangle = 3x
and the perimeter of the square = 4(x+10)
condition : the perimeter of the square is 3 times the perimeter of the triangle.
so, 4(x+10) = 3*(3x)
Step-by-step explanation:
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