Answer:
40 m
Step-by-step explanation:
Hi there!
<u>What we know:</u>
- The field is rectangular
- A = 99 m²
- Length of one side = 11 m
<u>1) Find the length of the other side</u>
Plug all the given information into the area formula for a rectangle:
where A is the area, l is the length and w is the width
![99=11w](https://tex.z-dn.net/?f=99%3D11w)
Divide both sides by 11 to isolate w
![\frac{99}{11} = \frac{11w}{11} \\9=w](https://tex.z-dn.net/?f=%5Cfrac%7B99%7D%7B11%7D%20%3D%20%5Cfrac%7B11w%7D%7B11%7D%20%5C%5C9%3Dw)
Therefore, the width of the field is 9 m.
<u>2) Find the perimeter of the field</u>
where l is the length and w is the width
Plug in the length (11 m) and the width (9 m)
![P=2(11+9)\\P=2(20)\\P=40](https://tex.z-dn.net/?f=P%3D2%2811%2B9%29%5C%5CP%3D2%2820%29%5C%5CP%3D40)
Therefore, the perimeter of the field is 40 m.
I hope this helps!