Question

A customer provided this diagram of a patio to afencing company.14 ft24 ft16 ft20 ftWhat is the length of the unlabeled side?10 feet11 feet12 feet13 feet

Answer 1

The part labelled 'x' is the unlabelled side.

`\begin{gathered} 14ft=14ft\text{ ( opposite side of a rectangle are equal)} \\ \text{Then, 20-14=6ft} \end{gathered}`
`\begin{gathered} To\text{ find x, we have:} \\ x^2=8^2+6^2 \\ x^2=64+36 \\ x^2=100 \\ x=\sqrt[]{100} \\ x=10ft \end{gathered}`

Hence, the length of the unlabelled side is 10ft, which is Option A