Answer:
Dimension: 2inches by 4 inches
Step-by-step explanation:
Given
[tex]Width = 2wice\ Length[/tex]
Required
Determine the dimension.
This is calculated as :
[tex]Area = Length * Width[/tex]
[tex]A = L * W[/tex]
So:
[tex]A=L * 2L[/tex]
[tex]A=2L^2[/tex]
Substitute 72 for A
[tex]72=2L^2[/tex]
Divide bith sodes by 2
[tex]36 = L^2[/tex]
Take square root of both sides
[tex]L = 6[/tex]
Recall that:
[tex]Width = 2 * Length[/tex]
Hence:
[tex]LEnhth= 0 * 2[/tex]
[tex]LEnhth= 2[/tex]
Hence, the dimension is: 2 by 3 inches
