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The diagram shows the dimensions of Taylor’s deck. The area of the deck is 233 square feet. Taylor is going to put a railing along the longest edge. How many feet of railing will she need?

Respuesta :

Answer:

21 feet of railing is needed

Step-by-step explanation:

The diagram which was not included by I know it because I have it for homework this weekend shows the area of the deck:

[tex]x^{2}  +  8^{2}[/tex]

Since we know the area of the deck is 223 square feet:

[tex]x^{2}  +  8^{2}[/tex]  =  223

Find 8^{2}[/tex] :

8^{2}[/tex]  = 64

[tex]x^{2}  +  64  =  223

223 - 64

=> 169

So,

[tex]x^{2}  = 169

Find square root of 169:

[tex]\sqrt{169}  =  13[/tex]

[tex]x^{2} = 13

Find the longest edge:

x + 8 = 13 + 8

=> 21

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