The area of a rectangle is the product of its dimensions.
The dimensions of the window is 40 inches by 48 inches
The ratio of the dimensions (length and width) is given as:
[tex]l : w = 1.2 : 1[/tex]
Express as fraction
[tex]\frac lw = \frac{1.2}1[/tex]
Divide 1.2 by 1
[tex]\frac lw = 1.2[/tex]
Multiply both sides by w
[tex]l = 1.2w[/tex]
The area of a rectangle is the product of its dimensions.
So, as have:
[tex]Area = lw[/tex]
Substitute 1.2w for l
[tex]Area = 1.2w^2[/tex]
Substitute 1920 for Area
[tex]1.2w^2=1920[/tex]
Divide both sides by 1.2
[tex]w^2=1600[/tex]
Take square roots of both sides
[tex]w=40[/tex]
Substitute 40 for w in [tex]l = 1.2w[/tex]
So, we have:
[tex]l =1.2 \times 40[/tex]
[tex]l =48[/tex]
Hence, the dimensions of the window is 40 inches by 48 inches
Read more about areas at:
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