stevensbraylon stevensbraylon
  • 19-12-2019
  • Mathematics
contestada

Devon needs a wood board with an area of 516 square yard to complete a project. If the wood board is 13 yard wide, how long must the board be?

Respuesta :

calculista
calculista calculista
  • 26-12-2019

Answer:

[tex]L=\frac{15}{16}\ yd[/tex]

Step-by-step explanation:

The correct question is

Devon needs a wood board with an area of 5/16 square yard to complete a project. If the wood board is 1/3 yard wide, how long must the board be?

we know that

The area of a rectangle is equal to

[tex]A=LW[/tex]

where

L is the length

W is the width

we have

[tex]A=\frac{5}{16}\ yd^2\\\\W=\frac{1}{3}\ yd[/tex]

substitute

[tex]\frac{5}{16}=L(\frac{1}{3})[/tex]

solve for L

[tex]L=\frac{5}{16}(3)[/tex]

[tex]L=\frac{15}{16}\ yd[/tex]

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