The scale from a playground to this drawing is 5 ft to 1 cm. The scale from the same playground to a second drawing is 8 ft to 1 cm. What are the side lengths of the playground in the second scale drawing? Show your work.

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.