loganchavez07
loganchavez07 loganchavez07
  • 22-07-2021
  • Mathematics
contestada

The area of a rectangle is 105 square units. Its width measures 7 units. Find the length of its diagonal. Round to the nearest tenth of a unit.

Respuesta :

samanthamazariego1 samanthamazariego1
  • 22-07-2021

Answer:

16.6

Step-by-step explanation:

The rectangle has an area of 105. It's width is 7.

1: Find the length

     [tex]\frac{area}{width}[/tex]=length

     [tex]\frac{105}{7}[/tex]= 15

      Length=15

2: Pythagorean theorem

      [tex]a^{2} +b^2=c^2[/tex]

       [tex]7^{2}[/tex]+[tex]15^2=c^2[/tex]

       49+225=[tex]c^2[/tex]

        275=[tex]c^2[/tex]

         [tex]\sqrt{275}[/tex] = [tex]\sqrt{c^2\\}[/tex]

          16.55≈c

           Rounded to nearest tenth

              16.6

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