SOLUTION: If the area of the rectangle is 32 square units, find the value of x. Length = 8 Width = Square root of 2x-4

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Question 194589: If the area of the rectangle is 32 square units, find the value of x.
Length = 8 Width = Square root of 2x-4
Answer by ankor@dixie-net.com(12695) About Me  (Show Source):
You can put this solution on YOUR website!
If the area of the rectangle is 32 square units, find the value of x.
Length = 8 Width = Square root of 2x-4
:
Length * width = 32
therefore
8%2Asqrt%282x-4%29 = 32
Divide both sides by 8, results: (sorry about this mistake
sqrt%282x-4%29 = 4
square both sides, results
2x - 4 = 16
2x = 16 + 4
2x = 20
x = 10
;
:
Check solution in original equation:
8%2Asqrt%282%2810%29-4%29 = 32
8%2Asqrt%2816%29 = 32
8* 4 = 32