Question

Cathy is designing a rectangular game room. She wants the room to be 18 feet long and have a perimeter that is greater than 130 feet.select all possible values that could be the width of the game room.a. 44 feetb. 47 feetc. 48 feetd. 50 feete. 55 feet

Answer 1

The formula for the perimeter for a rectangle is:

`2(l+w)=P`

SInce l=18 feet

P = > 130 feet

w= unknown

We will substitute these given values into the formula above to get the possible values of the width of the game room.

`2(18+w)>130`

Simplifying further, we will have:

`\begin{gathered} 36+2w>130 \\ 2w>130-36 \\ 2w>94 \\ w>(94)/(2) \\ w>47ft \\ \text{The above statement means that the possible width of the game room that } \\ \text{would give a perimeter greater than 130 f}eet\text{ must be values that are greater than} \\ 47\text{feet.} \end{gathered}`

The correct answers, therefore, are options C, D, and E.