Question

If the perimeter of a rectangular plot is 68 m and length of its diagonal is 26 m, find
its area.​

Answer 1

Question

If the perimeter of a rectangular plot is 68 m and length of its diagonal is 26 m, find  its area.​

Answer:

Rectangular plot area is 240cm²

Step-by-step explanation:

Breadth and Length of the rectangle be l and b respectively.

Given: Given: Perimeter = 68,  

Length of diagonal, AC = 26

Perimeter of rectangle= 2(l + b) = 68

⇒l + b =68/2 = 34__________(1)

And by Pythagoras theorem

hypotenuse²= base²+ perpendicular²

(26)²=base²+ perpendicular²

⇒l² +b²=676

From (1) equation, l + b = 34  

Squaring on both sides

⇒l² +b²+2lb=1156

⇒676 + 2 lb= 1156

⇒ 2 lb = 480

⇒ lb= 240

⇒ Area = lb = 240m²