Question

Drawn from the origin are two mutually perpendicular straight lines forming an isosceles triangle together with the straight line $2x+y=5$. Then find the area of the triangle.

Answer 1

From the image we can see that the area of the shaded portion is given by :

$A=\frac{1}{2}\times 5\times$$\frac{5}{2}$

$A=\frac{25}{4}$