What is the slant height of this cone?

Needhelp4math

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What is the slant height of this cone, if its lateral surface area is 540ft^2 and it's radius is 12ft?

Answer is 14.3

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I work from seeing the way the answer is done. My work wouldn't mean anything

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I struggle with questions that give me surface area to solve.

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I struggle with questions that give me surface area to solve.

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You do not have to solve the area: it is given to you.

Do you know a formula that relates radius, slant height, and lateral surface area? What is it?

Can you use algebra to rearrange that formula into one that gives slant height as a function of lateral surface area and radius?
 
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