Answer:
l = 7√2 meters, the length is 7√2 meters
Step-by-step explanation:
The width of the table is 2√2 meters
find its length if its area is 7√8.
Given:
[tex]w=2\sqrt{2}[/tex]
[tex]A=7\sqrt{8}[/tex]
Formula:
[tex]A=wl[/tex]
[tex]\frac{1}{w}(A)=(wl)\frac{1}{w}[/tex]
[tex]\frac{A}{w} =l[/tex]
[tex]l=\frac{A}{w}[/tex]
Solution:
[tex]l=\frac{A}{w}[/tex]
[tex]l=\frac{7\sqrt{8} }{2\sqrt{2} }[/tex]
- [tex]7\sqrt{8} =7(2)\sqrt{4}=14\sqrt{4}[/tex]
[tex]l=\frac{14\sqrt{4} }{2\sqrt{2} }[/tex]
l = 7√2 meters
