Question

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

Answer 1

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,

$\begin{gathered} \frac{334}{2}=78+L \\ 167=78+L \\ L=167-78 \\ L=89 \end{gathered}$

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