Question

Jason and Adam are using a kit to build their own Electronics board for a computer project. they use a scale drawing included in the instructions to help build the board. Jason will use the scale factor to find the boards actual length and width then multiply those Dimensions to find the board's area Adam says he knows another way

Answer 1

We have the following:

The area of a rectangle is calculated by multiplying the width by the length, as follows

`A=w\cdot l`

w = 36 and l = 50

replacing:

`\begin{gathered} A=36\cdot50 \\ A=1800 \end{gathered}`

A scale factor means the value that each side really represents, that is, if 1 in the plane or drawing is actually 5 times larger

Therefore,

`\begin{gathered} w=36\cdot5=180 \\ l=50\cdot5=250 \end{gathered}`

now, the area then would be

`\begin{gathered} A=180\cdot250 \\ A=45000 \end{gathered}`

The other way is that the area obtained previously is multiplied by 25 (5 squared)

`\begin{gathered} A=25\cdot1800 \\ A=45000 \end{gathered}`

We can see that the same result is obtained in both ways.