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In the figure, what is the ratio of the area of square KLMN to the area of LOK?

In The Figure What Is The Ratio Of The Area Of Square KLMN To The Area Of LOK class=

Sagot :

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

Learn more about area here:

https://brainly.com/question/25260313

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