Question

A block of wood has a face of 250 square cm.one side is 25 cm long.what length is the other side?

Answer 1

`10cm`

Explanation:

We understand area to be given by

`l*w`

Where `l` represents length and `w` represents width.

We know our area is `250cm^2`. We can define the `25cm` long side as our length. We can plug everything in to get

`250=25w`

This is just a straightforward linear equation. Let's divide both sides by `25` to find the width. We get

`w=10`

This means the width, or the other side, is `10cm`.

This isn't necessary all of the time, but let's make sure we get an area of `250cm^2`.

`l=25cm` and `w=10cm`. Plugging into our area expression, we get

`25cm*10cm=25*10*cm*cm=color(blue)(250cm^2)`

And we get the answer we're looking for. Thus, the other side is

`10cm`

Hope this helps!