Answer
15 feet, 20 feet, and 23 feet
or 14 feet, 20 feet, and 24 feet
Work Step by Step
perimeter = sum of all sides
$P = x^2-2x+x^2-2+x^2-x$
$58=x^2-2x+x^2-2+x^2-x$
$58 = 3x^2-3x-2$
$60 = 3x^2-3x$
$60/3 = (3x^2-3x)/3$
$20 = x^2-x$
$x^2-x-20=0$
$x^2-x-20$
$x^2-5x+4x-20$
$x(x-5)+4(x-5)$
$(x-5)(x+4)$
$(x-5)(x+4)=0$
$x-5=0$
$x=5$
$x+4=0$
$x=-4$
$x=5$
$(x^2-2x)$
$(5^2-2*5)$
$25-10$
$15$
$x^2-2$
$5^2-2$
$25-2$
$23$
$x^2-x$
$5^2-5$
$25-5$
$20$
$20+23+15=58$
$x=-4$
$(x^2-2x)$
$((-4)^2-2(-4))$
$16+8$
$24$
$x^2-2$
$(-4)^2-2$
$16-2$
$14$
$x^2-x$
$(-4)^2-(-4)$
$16+4$
$20$
$24+14+20=58$
