Question

The length and width of a rectangular table have a ratio of 8 to 5. The width of the table is 40 in. Find the length of the table.

Answer 1

Let the length and the width of the rectangular table be represented as L and W respectively.

Given that the length and the width have a ratio of 8 to 5, this implies that

`(L)/(W)=(8)/(5)`

If the width of the table is 40 in, the length of the table is evaluated as

`\begin{gathered} (L)/(40)=(8)/(5) \\ \text{cross multiply} \\ 5* L=8*40 \\ \implies5L=320 \\ \text{divide both sides by the coefficient of L, which is 5} \\ \text{thus,} \\ (5L)/(5)=(320)/(5) \\ \therefore L=64\text{ in.} \end{gathered}`

Hence, the length of the table is 64 in.