Question

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

Answer 1

Answer:

240 sq m

Step-by-step explanation:

The perimeter of a rectangular plot is 68 m. So it means the sum of two adjacent sides is 34 cm and the diagonal is given as 26 m.

Let the two sides be x and (34-x).

Applying Pythagoras theroem

26^2 = x^2 + (34-x)^2, or

676 = x^2 + 1156 - 68x + x^2, or

2x^2- 68x + 480 = 0, or

x*2–34x+240 = 0, or

(x-24)(x-10) = 0

x = 24 or 10

So the length = 24 m and the width = 10m

So the area of the plot is 24 x 10 = 240 sq m.