Question

karl needs to build a stage that has an area of 60 square feet the length of the state should be longer than the width what are the possible whole number measurements for the length and width of the stage

Answer 1

Hello!

The answers are:

`length(ft)*width(ft)=60^(2)`

`60ft*1ft=60ft^(2)\\30ft*2ft=60ft^(2)\\20ft*3ft=60ft^(2)\\15ft*4ft=60ft^(2)\\12ft*5ft=60ft^(2)\\10ft*6ft=60ft^(2)`

Why?

To find the answer we need to find the numbers that could give as result of its product (factors), the given information about the area.

So, if the area is equal to
`60ft^(2)` we need to find the numbers that could give the number 60 as result, it's important to remember that the length should be longer than the width.

Then, being the first term the length and the second the width, we have:

`60ft*1ft=60ft^(2)\\30ft*2ft=60ft^(2)\\20ft*3ft=60ft^(2)\\15ft*4ft=60ft^(2)\\12ft*5ft=60ft^(2)\\10ft*6ft=60ft^(2)`

Have a nice day!