the ratio of the area of square KLMN to the area of LOK is 2a^2/b h
How to determine the ratio
From the image given, we can deduce the following;
- KLMN is a square
- LOK is a triangle
The formula for area of a square is
Area = a^2
Where, 'a' is the side
The formula for area of a triangle
Area = 1/ 2 base × height
Now, let's find the ratio
Ratio = area of KLMN/ area of LOK
Ratio = [tex]\frac{a^2}{\frac{1}{2} bh}[/tex]
Ratio = [tex]\frac{a^2}{\frac{bh}{2} }[/tex]
make the expression linear
Ratio = 2a^2/bh
The ratio of the area of square KLMN to the area of LOK is 2a^2/bh
Thus, the ratio of the area of square KLMN to the area of LOK is 2a^2/b h
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