Answer:
The width is 5.5cm.
The length is 33cm.
Explanation:
Since the length is 6 times the width,
(l represents the length and w represents the width.)
Perimeter = Length + Length + Width + Width =
![6w+6w+w+w=14w](https://img.qammunity.org/2021/formulas/mathematics/high-school/og17drgvxzgtwi3i9h8alfr98symd7nwdw.png)
Since the perimeter is 77cm,
![14w=77](https://img.qammunity.org/2021/formulas/mathematics/high-school/niwlfsy0c0nb56po9dmw6dcr5pakjj1t60.png)
Divide both sides by 14:
![(14w)/(14)=(77)/(14)](https://img.qammunity.org/2021/formulas/mathematics/high-school/vfrrcmy9ufhxibt4wn14xaip2asdy7ak8a.png)
![w=5.5](https://img.qammunity.org/2021/formulas/mathematics/high-school/9f8223x07hwa6qpd21r15r6aztxa4b16vu.png)
The width is 5.5cm.
We know that the length is 6 times the width,
so the length =
.
The length is 33cm.