Find the area of rhombus one side of which measure 20 cm and one diagonal 24 cm.

To find the area of a rhombus, you can use the following formula:

Area = (1/2) * d1 * d2

Where:

• d1 and d2 are the lengths of the diagonals.

In this case, you're given that one diagonal (d1) is 24 cm, and one side (s) is 20 cm. You can use these values to find the other diagonal (d2) by applying the Pythagorean theorem since the diagonals of a rhombus form two right-angled triangles.

Let's calculate d2:

d2² = (2s)² - d1² d2² = (2 * 20 cm)² - (24 cm)² d2² = (40 cm)² - (24 cm)² d2² = 1600 cm² - 576 cm² d2² = 1024 cm²

Now, find the square root of d2² to get d2:

d2 = √1024 cm d2 = 32 cm

Now that you have both diagonals, you can calculate the area:

Area = (1/2) * d1 * d2 Area = (1/2) * 24 cm * 32 cm Area = 384 square cm

So, the area of the rhombus is 384 square cm.