Rectangle-Square Area Ratio: Find Area When Square = 16 cm²

The rectangle ABCD is divided into the rectangle KBCM and the square AKMD.

The ratio between the rectangle and the square is 2:1.

The area of square AKMD is 16 cm².

Calculate the area of rectangle KBCM.

First we will divide the area of KBCM by the area of AKMD.

We know that their ratio is 2:1, therefore:

$\frac{KBCM}{AKMD}=\frac{2}{1}$

We also know the area of AKMD, so we'll substitute it into the formula to obtain the following:

$\frac{KBCM}{18}=\frac{2}{1}$

Finally, we multiply by 18:

$KBCM=2\times18=36$