The area of the region is 183/100 Square units
Calculations and Parameters
y = (5/2) sqrt(x) = 4
===> 25x = 64
===> x = 64/25
y = (5/2)sqrt(x) = (-3x+8)/2
===> 25x = 9x^2 - 48x + 64
===> x = 1
Area = Integral ( 0 to 1) ( 4-(-(3/2)x -4))dx + Int(1 to 64/25)(4 - 2′5 sqrt(x)dx
= (3x^2/4) ( from 0 to 1) + (4x - (5/3)x^(3/2)) from 1 to 64/25) = 3/4 + 27/25
Area = 183/100
Hence, we can see that the area of the region is 183/100 Square units
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