The radius of the circle circumscribed about the rectangle is 5 cm. One side of the rectangle is 6 cm

The radius of the circle circumscribed about the rectangle is 5 cm. One side of the rectangle is 6 cm, calculate the s of the rectangle.

To solve this example, we will use the conditional variable “Y”, through which we denote the second side of the rectangle.

The next step, using the data of this example and applying the Pythagorean theorem, we obtain the following expression: Y ^ 2 + 6 ^ 2 = (5 + 5) ^ 2.

The result of the calculation will look like this Y ^ 2 + 36 = 10 ^ 2 or Y ^ 2 = 100 – 36 = 64 or Y = √64 = 8 cm.

This means that the area of the rectangle will be 6 x 8 = 48 cm ^ 2.

Answer: The area of the rectangle is 48 cm ^ 2.



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