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pranav1785:
is x=2
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area of triangle = 1/2 x base x hieght
= 1/2 x 4(x) x (4x+8)
=2x(2x+4)
= 4x^2 + 8x
perimeter of square = 4a
= 4(3x+2)
given that area of triangle = area of square then
4(3x+2) = 4(x^2 +2x)
3x+2 = x^2 +2x
=> x^2 - x - 2 = 0
x^2 - 2x + x - 2 = 0
x(x-2) + 1 ( x-2) =0
now either x=2
or x = -1 since here x can't be negative then we take x=2
now perimeter perimeter of square = 4 a
= 4(3(2) +2)
= 4(6+2)
= 4 (8)
= 32 cm
hence solved!!
i did it man
= 1/2 x 4(x) x (4x+8)
=2x(2x+4)
= 4x^2 + 8x
perimeter of square = 4a
= 4(3x+2)
given that area of triangle = area of square then
4(3x+2) = 4(x^2 +2x)
3x+2 = x^2 +2x
=> x^2 - x - 2 = 0
x^2 - 2x + x - 2 = 0
x(x-2) + 1 ( x-2) =0
now either x=2
or x = -1 since here x can't be negative then we take x=2
now perimeter perimeter of square = 4 a
= 4(3(2) +2)
= 4(6+2)
= 4 (8)
= 32 cm
hence solved!!
i did it man
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