I don't know how to do this it sais

In the accompanying diagram, ABCD is a rectangle inscribed in circle o. the ratio of side AB to side BC is 4:3. The area of the rectangle is 48 square centimeters.
A B
o
D C
This is how it looks and its telling me to find the lengths of sides AB and BC

To find the lengths of sides AB and BC, we can use the given information about the ratio and area of the rectangle.

1. Define variables: Let x be the common ratio between AB and BC.

2. Set up equations: We know that the ratio of AB to BC is 4:3, so we can write the equation:
AB/BC = 4/3

3. Solve for x: Multiply both sides of the equation by 3 to get rid of the denominator:
AB = (4/3) * BC

Substitute the value of AB into the equation for the area of the rectangle:
AB * BC = 48

Substituting (4/3) * BC for AB:
(4/3) * BC * BC = 48

Rearranging the equation:
(4/3) * BC^2 = 48

Multiply both sides by 3/4 to isolate BC^2:
BC^2 = 48 * 3/4

4. Solve for BC: Calculate BC by taking the square root of both sides of the equation:
BC = sqrt((48 * 3)/4)

Simplifying the expression:
BC = sqrt(144/4)
BC = sqrt(36)
BC = 6 centimeters

5. Solve for AB: Substitute the value of BC into the equation obtained in step 2:
AB = (4/3) * 6
AB = 8 centimeters

Therefore, the lengths of sides AB and BC are 8 centimeters and 6 centimeters, respectively.