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The perimeter of a rectangle garden is 334 feet. If the width of the garden is 78 feet, what is its length?

The perimeter of a rectangle garden is 334 feet. If the width of the garden is 78 feet-example-1
User Olaf Erlandsen
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1 Answer

15 votes
15 votes

Consider that the perimeter (P) of a rectangle whose length is (L) and width is (W), is given by the formula,


P=2\cdot(L+W)

Given that the perimeter is 334 feet,


P=334

Also, it is given that the width of the rectangle is 78 feet,


W=78

Substitute the values in the formula,


334=2\cdot(78+L)

Simplify the expression as follows,


\begin{gathered} (334)/(2)=78+L \\ 167=78+L \\ L=167-78 \\ L=89 \end{gathered}

Thus, the length of the given rectangle is 89 feet.

User QuantumRich
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