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the width of the table is 2√2 meters
find its length if its area is 7√8.​


Sagot :

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