Answer:
6 meters.
Explanation:
Let w represent width of the rectangle.
We have been given that the area of a rectangle playground is 78 square meters. The length of the playground is 13 meters.
We know that area of a rectangle is width times length of rectangle. We can represent our given information in an equation as:
![\text{Area of rectangle}=\text{Length}* \text{Width}](https://img.qammunity.org/2019/formulas/mathematics/high-school/in7xe2p40pv5jo2jwu4sxz0nbqcny5ww12.png)
![\text{78 m}^2=13\text{ m}* \text{Width}](https://img.qammunity.org/2019/formulas/mathematics/middle-school/91tn8e2qbww1anp8t4oxr24l87dz6jwvc7.png)
![\frac{\text{78 m}^2}{13\text{ m}}=\frac{13\text{ m}* \text{Width}}{13\text{ m}}](https://img.qammunity.org/2019/formulas/mathematics/middle-school/u7q44w8zog3ieau7rowwrkop1cgqj88toh.png)
![6\text{ m}=\text{Width}](https://img.qammunity.org/2019/formulas/mathematics/middle-school/simvrrmpvu6nyz69f0bd3x1vnfoz1ay0u3.png)
Therefore, the width of the rectangle is 6 meters.