Respuesta :

Solution:

Step-1: Find the missing side length using Pythagoras theorem:

  • 115² = 69² + x²
  • => 13225 = 4761 + x²
  • => 13225 - 4761 = x²
  • => 8464 = x²
  • => x = √8464 = 92

Step-2: Find the area of the rectangle:

  • Area of rectangle = LB
  • => 69 x (92 + 100)
  • => 69 x 192
  • => 13248 units²

Apply Pythagorean theorem

[tex]\\ \rm\bull\rightarrowtail b^2=115^2-69^2[/tex]

[tex]\\ \rm\bull\rightarrowtail b^2=13225-4761[/tex]

[tex]\\ \rm\bull\rightarrowtail b^2=8464[/tex]

[tex]\\ \rm\bull\rightarrowtail b=92[/tex]

  • Now length=192
  • Breadth=69

Area=Length×Breadth

[tex]\\ \rm\bull\rightarrowtail Area=192(69)=13248units^2[/tex]