Answer:
The dimensions of rectangular table are length = 79 centimeters and width = 261 centimeters.
Step-by-step explanation:
Given:
The perimeter of the rectangular table is 680 centimeters.
Now, to find the dimensions:
Let, the width of rectangular table be ![x](https://tex.z-dn.net/?f=x)
And the length of the table be ![24+3x](https://tex.z-dn.net/?f=24%2B3x)
Now, putting the formula of perimeter of rectangle to get the dimensions:
Perimeter = 2(length + width)
![680=2(x+(24+3x))](https://tex.z-dn.net/?f=680%3D2%28x%2B%2824%2B3x%29%29)
![680=2(4x+24)](https://tex.z-dn.net/?f=680%3D2%284x%2B24%29)
![680=8x+48](https://tex.z-dn.net/?f=680%3D8x%2B48)
By subtracting both sides with 48 we get:
![632=8x](https://tex.z-dn.net/?f=632%3D8x)
Now, dividing both sides by 8 we get:
![79=x](https://tex.z-dn.net/?f=79%3Dx)
So, width of the table = 79 centimeters.
And, length of the table = 24+3×79
= 24+237
= 261 centimeters.
Therefore, the dimensions of rectangular table are length = 79 centimeters and width = 261 centimeters.