Question

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?

Answer 1

21 feet of railing is needed

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:

`x^(2)  +  8^(2)`

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

`x^(2)  +  8^(2)` = 223

Find 8^{2}[/tex] :

8^{2}[/tex] = 64

`x^(2)  +  64  =  223</p><p></p><p>223 - 64 </p><p>=> 169</p><p></p><p><u><strong>So,</strong></u></p><p></p><p>[tex]x^(2)  = 169</p><p></p><p><u><strong>Find square root of 169:</strong></u></p><p></p><p>[tex]√(169)  =  <strong>13`

[tex]x^{2} = 13

Find the longest edge:

x + 8 = 13 + 8

=> 21