Please refer to the image attached for complete question
Answer:
Area of the Shaded Region = 6
Step-by-step explanation:
Line 1 is passing through the points (0,0) and (5,5), now we know any line passing through the origin (0,0) will have the equation y = x---------(1)
Line 2 lies on the coordinates (0,3) and (6,0) hence in order to find the equation of line 2 we will use the following formula:
(y- y1) = m (x - x1) (here m is the gradient of the line)
m = 0-3/6-0
m = -3/6
m = -1/2
(y - 3) = (-1/2)(x - 0)
y - 3 -1/2 x
y = -1/2x -3-----------(2)
now substituting equation (1) in equation (2) we get
y = -1/2y -3
3/2 y = 3
y = 2; x = 2
Hence the intersecting point of the above line is (2,2)
Area of the shaded region = 1/2 * base * height
= 6
