Question

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

Answer 1

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 = $\frac{a^2}{\frac{1}{2} bh}$

Ratio = $\frac{a^2}{\frac{bh}{2} }$

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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