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The two rectangles shown below have the same

perimeter. Write and solve an equation to find the value of x. Then find the measures of the length and width of
Rectangle B. All measurements are in inches.

The two rectangles shown below have the same perimeter. Write and solve an equation-example-1

1 Answer

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9514 1404 393

Answer:

  • x = 3
  • length = 9
  • width = 3

Explanation:

The sum of length and width is half the perimeter. If the perimeter is the same, so will be the sum of length and width:

7 + 5 = x + (4x -3)

15 = 5x . . . . . . . add 3, simplify

3 = x

The value of x is 3.

The length of Rectangle B is 4(3)-3 = 9 inches.

The width of Rectangle B is 3 inches.

User Simone Sanfratello
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