Step-by-step explanation:
answer is first option,,,
Step-by-step explanation:
1. 2463.00864 cm²
2.615.75216 cm²
3.1232 cm²
<em><u>Question:</u></em>
You have a 32-foot fence around a square garden. There are 4 equal sections. You paint 1/3 of one section of the fence. What fraction of the fence did you paint?
<em><u>Answer:</u></em>
The fraction of the fence painted is ![\frac{1}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B12%7D)
<em><u>Solution:</u></em>
Given that:
You have a 32-foot fence around a square garden. There are 4 equal sections
<em><u>Find the length of each section:
</u></em>
4 sections = 32 foot
![\text{ 1 section } = 32 \div 4 = 8 foot](https://tex.z-dn.net/?f=%5Ctext%7B%201%20section%20%7D%20%3D%2032%20%5Cdiv%204%20%3D%208%20foot)
<em><u>Find the length that is painted:
</u></em>
![\text{ Fence painted }= \frac{1}{3} \text{ of one section }\\\\\text{ Fence painted }= \frac{1}{3} \times 8 = \frac{8}{3} \text{ foot }](https://tex.z-dn.net/?f=%5Ctext%7B%20Fence%20painted%20%7D%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5Ctext%7B%20of%20one%20section%20%7D%5C%5C%5C%5C%5Ctext%7B%20Fence%20painted%20%7D%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5Ctimes%208%20%3D%20%5Cfrac%7B8%7D%7B3%7D%20%5Ctext%7B%20foot%20%7D)
Therefore
foot of fence is painted
<em><u>Find the fraction that that is painted:</u></em>
Total length of fence = 32
![\text{ Fraction of the fence painted } = \frac{8}{3} \div 32 = \frac{8}{3} \times \frac{1}{32}\\\\\text{ Fraction of the fence painted } = \frac{1}{12}](https://tex.z-dn.net/?f=%5Ctext%7B%20Fraction%20of%20the%20fence%20painted%20%7D%20%3D%20%5Cfrac%7B8%7D%7B3%7D%20%5Cdiv%2032%20%3D%20%5Cfrac%7B8%7D%7B3%7D%20%5Ctimes%20%5Cfrac%7B1%7D%7B32%7D%5C%5C%5C%5C%5Ctext%7B%20Fraction%20of%20the%20fence%20painted%20%7D%20%3D%20%5Cfrac%7B1%7D%7B12%7D)
Therefore
fraction of the fence is painted
5+7+8= 20
5/20
20-1= 19
8/19 (becomes 19 because you are not replacing the marble)