Respuesta :

The area of a rectangle = length * width

78 = length * 13

[tex] length = \frac{78}{13} [/tex] use a calculator to find out the answer then,

Answer:

6 meters.

Step-by-step 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:

[tex]\text{Area of rectangle}=\text{Length}\times \text{Width}[/tex]

[tex]78\text{ m}^2=13\text{ m}\times \text{Width}[/tex]

[tex]13\text{ m}\times \text{Width}=78\text{ m}^2[/tex]

[tex]\frac{13\text{ m}\times \text{Width}}{13\text{ m}}=\frac{78\text{ m}^2}{13\text{ m}}[/tex]

[tex]\text{Width}=6\text{ m}[/tex]

Therefore, the width of the rectangle is 6 meters.