Question

Adoncia nakes a scale drawing of the front of the Lincoln memorial. She used a scale of 15 ft in the monument to 1 in. I’m the drawing. The front of the monument is about 80 ft high and 200 ft long. Will adoncia’s drawing fit on an 8 1/2 in.-by-11 in. Sheet of paper? Explain

Answer 1

Given:

The scale is 15 ft = 1 in

Height = 80 ft

Length = 200 ft

Find-:

The required dimensions of the paper

Explanation-:

The scale is:

$15\text{ ft }=1\text{ in}$

The required dimension of paper is:

$\begin{gathered} \text{ Height }=80\text{ feet} \\ \\ \text{ Height }=\frac{80}{15}\text{ in} \\ \\ \text{ Height }=\frac{16}{3}\text{ in} \\ \\ \text{ Height }=5.33\text{ in} \end{gathered}$

The length is:

$\begin{gathered} \text{ Length }=200\text{ ft} \\ \\ \text{ Length }=\frac{200}{15}\text{ in} \\ \\ \text{ Length }=13.33\text{ in.} \end{gathered}$

So the demission is height 5.33 in and length 13.33 in

The sheet demission is

$\begin{gathered} =8\frac{1}{2}\text{ in and }11\text{ in} \\ \\ =\frac{17}{2}\text{ in and }11\text{ in } \\ \\ =8.5\text{ in and 11 in} \end{gathered}$

So, Adoncia's drawing will not fit on the sheet of paper.