You plan to cut a board into 3 pieces to repair part of a railing. You are going to cut the two ends of the board off into two equal pieces that are 3.4 feet long, if the remaining piece needs to be 2.35 times longer than the each of the first two cuts what length board should you buy? Round to the nearest tenth. PLZZZ HELPP

Let's assume that the original length of the piece of board is L.

Now you cut two pieces that are 3.4 ft long, so the remaining piece of board is:

L - 3.4ft - 3.4ft = L - 6.8ft long.

Now we know that the remaining must be 2.35 times longer than the pieces of 3.4 ft, then we have the equation:

( L - 6.8ft) = 2.35×3.4ft

solving that for L we get:

L  = 14.79ft

Rounding to the nearest tenth, we get:

L = 14.8ft

You should buy a piece of board that is 14.8 feet long.

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