Question

The diagram below shows a rectangle with dimensions in cm 3x+7y 3x+4y-4 8x+4y+2 7x+ y

Answer 1

[AI-generated answer — Bot 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.

Answer 2

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

Answer 3

[AI-generated answer — Bot 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.