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Pierce is making a rectangular frame for a photo collage that had a perimeter of 72.2 inches. The length of the frame is 20.3 inches and width of the frame is x inches. Write an equation that could be used to find width or the frame

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Answer:

72.2 = 2x + 40.6

Step-by-step explanation:

Formula for perimeter of a rectangle = 2( width + lenght)

P = 2 ( w + l)

P= 2w + 2l    (i)

We have been given that width = x

and lenght = 20.3 inches and P = 72.2 inches

We substitute the values of P, w and l into equation (i)

72.2 = 2x + (2*20.3)

72.2 = 2x + 40.6

The equation to calculate the width of the frame is 72.2 = 40.6 + 2w and the width of the frame is 15.8 inches.

Data Given;

  • Perimeter = 72.2 inches
  • length = 20.3 inches
  • width = x

Perimeter of a Rectangle

To solve this question, we have to apply a formula which is given as;

[tex]P = 2(L+W)\\[/tex]

substitute the values and solve for the width (w)

[tex]72.2 = 2(20.3+w)\\72.2 = 40.6 + 2w\\[/tex]

collect like terms

[tex]72.2-40.6 = 2w\\2w = 31.6\\2w/2 = 31.6/2\\w = 15.8[/tex]

From the calculations above, the equation that can be used to calculate the width of the frame is 72.2 = 40.6 + 2w and the width of the frame is 15.8 inches.

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