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]