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Answered

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what is the area of the rectangle?

Width;
4x-1 ,

Top length;
2x+17

Bottom Length;
6x+9 .

Please help ​

Sagot :

Answer:  147 square units

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Explanation:

Recall that the opposite sides of any rectangle are the same length.

This means the top and bottom sides are the same length

top = bottom

2x+17 = 6x+9

2x-6x = 9-17

-4x = -8

x = -8/(-4)

x = 2

Then we can find each side:

  • width = 4x-1 = 4*2-1 = 8-1 = 7
  • top = 2x+17 = 2*2+17 = 4+17 = 21
  • bottom = 6x+9 = 6*2+9 = 12+9 = 21

We get the same length for top and bottom (21), which confirms the correct x value.

This is a 7 by 21 rectangle with area = length*width = 7*21 = 147 square units.

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