The dimension of the rectangle is 10 by 6.5
How to determine the dimensions?
The given parameters are:
Length, (L) = 2W - 3
Area = 65
The area of a rectangle is:
A = LW
So, we have:
LW = 65
Substitute L =2W - 3
(2W - 3)W = 65
Expand
2W^2 - 3W = 65
Rewrite as:
2W^2 - 3W - 65 = 0
Using a graphing calculator, we have:
W = 6.5
Substitute W = 6.5 in L =2W - 3
L =2 * 6.5 - 3
Evaluate
L =10
Hence, the dimension of the rectangle is 10 by 6.5
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