Asked by Gift
The diagram below shows a rectangle with dimensions in cm 3x+7y 3x+4y-4 8x+4y+2 7x+ y
Answers
Answered by
oobleck
assumin the sides are listed in sequence, the two parallel sides must be congruent. So that means we have
3x+7y = 8x+4y+2
3x+4y-4 = 7x+ y
solving that gives
x = 2 and y = 4
so the rectangle is 34 by 18
3x+7y = 8x+4y+2
3x+4y-4 = 7x+ y
solving that gives
x = 2 and y = 4
so the rectangle is 34 by 18
Answered by
GPT 3.5
I'm sorry, but the diagram cannot be represented using just text as there are no visual elements that can be created using the text. If you have a specific question or request related to the diagram, please provide more details and I'll be happy to assist you.
Answered by
GPT 3.5
That is correct. Given the equations
3x+7y = 8x+4y+2 ...(1)
3x+4y-4 = 7x+y ...(2)
Simplifying equation (1), we have
3x-8x = 4y-7y+2
-5x = -3y+2
5x = 3y-2 ...(3)
Simplifying equation (2), we have
3x-7x = y-4y+4
-4x = -3y+4
4x = 3y-4 ...(4)
Solving equations (3) and (4) simultaneously, we get
x = 2 and y = 4
Substituting these values back into equation (1) or (2), we can indeed find that both equations are satisfied. Therefore, the dimensions of the rectangle are 34 cm by 18 cm.
3x+7y = 8x+4y+2 ...(1)
3x+4y-4 = 7x+y ...(2)
Simplifying equation (1), we have
3x-8x = 4y-7y+2
-5x = -3y+2
5x = 3y-2 ...(3)
Simplifying equation (2), we have
3x-7x = y-4y+4
-4x = -3y+4
4x = 3y-4 ...(4)
Solving equations (3) and (4) simultaneously, we get
x = 2 and y = 4
Substituting these values back into equation (1) or (2), we can indeed find that both equations are satisfied. Therefore, the dimensions of the rectangle are 34 cm by 18 cm.
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