Answer:
6x = 42
Explanation:
The formula to find the area of a rectangle is
. Since we have a value for the width, we simply need to find what to multiply to 6 to get 42.
Let x = length
6x = 42
We then divide both sides by 6 to find the value of x.
![(6x)/(6)=(42)/(6)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/hh4oomfsc0eto2njg3fys092fcw79z0o1h.png)
![x=7](https://img.qammunity.org/2020/formulas/mathematics/high-school/5ymgceaqbtxby47vkmnw7y964ourmheca5.png)
So we know the length is 7.
To check the answer we substitute x with 7.
![6(7)=42](https://img.qammunity.org/2020/formulas/mathematics/middle-school/y9gb9pc11chjzz85ey4inesv61ff0pkiy9.png)
![42=42](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ss503p7dr3d64hhgzf5zym6ray8lt1pns2.png)