Respuesta :

  • let the rectangular figure be ABCD and the diagonal is AC which is 10m
  • therefore in the right angled triangle ABC (X)^2+(2X-4)^2=(10)^2 "Pythagorean theorem"
  • X^2+(4X^2-16X+16)=100
  • 5X^2-16X+16=100
  • 5X^2-16X-84=0
  • X=6 or X=-2.8"refused as the length can't be negative"
  • length =6 and the width=8
  • perimeter=(6+8)x2=28 length unit