The width of a rectangle is 6 2/3 inches. The length of the rectangle is twice its width. What is the perimeter of the rectangle

Respuesta :

A perimeter of a rectangle is:
[tex]2(l+w)[/tex]

They give you the width, but let's convert it to an improper fraction first:
[tex]6 \frac{2}{3} = \frac{20}{3} [/tex]

The length is twice the width so it is:
[tex] \frac{20}{3}*2 = \frac{40}{3} [/tex]

Now, we are ready to solve, plug in values in the perimeter formula:
[tex]2( \frac{40}{3}+ \frac{20}{3}) = 2(\frac{60}{3}) = \frac{120}{3} = 40 [/tex]

So, 40 is your answer.

The Perimeter of the Rectangle was found to be 40 inches

Mensuration of flat Shapes

Given Data

  • Width =  6 2/3 inches  = 20/3 inches
  • Length =  20/3 *2 = 40/3

We know that the expression for finding the Perimeter of Rectangle is given as

Perimeter = 2L+2W

Substituting our data into the expression we have

Perimeter = 2(20/3)+2(40/3)

Perimeter = (40/3)+(80/3)

Perimeter = (40+80)/3

Perimeter = 120/3

Perimeter = 40 inches

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