Question

two vertices of a rectangle are on positive x axis. The other two vertices lie on the lines y= 4x , y = 6 -5x.
what is the maximum area of rectangle ?

Answer 1

hey kasula where u frm?

Answer 2

Andhra Pradesh !!!

Answer 3

k i frgt wel

Answer 4

could u sketch the fig

Answer 5

its difficult for me to do on draw.....its quite easly if u try...figure!

Answer 6

hm if u show a fig here i will help .coz i dont like spoonfeeding

Answer 7

Take the two vertices on x-axis as A(x1,0) and B(x2,0). The point D directly above A, if it lies on y=4x, will have co-ordinates (x1,4x1). The point directly above B is (6-5x2,x2). Now, a rectangle has maximum area if it is a square. So, all the side lengths will be equal. Now, try with the distance formula, and equate all four distances.