Question

Find the number a such that the line x = a divides the region bounded by the curves y = x, y = 0, and x = 4 into two regions with equal area. Give your answer correct to 3 decimal places. (4 points)

Answer 1

Hello,

It's more simple than the first one!

Let's O=(0,0); A=(4,0); B=(4,4) (since y=x)

Area OAB=4*4/2=8
Half area=4

a²/2=4 ==>a²=8==>a=2√2.