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 [tex]x[/tex]
And the length of the table be [tex]24+3x[/tex]
Now, putting the formula of perimeter of rectangle to get the dimensions:
Perimeter = 2(length + width)
[tex]680=2(x+(24+3x))[/tex]
[tex]680=2(4x+24)[/tex]
[tex]680=8x+48[/tex]
By subtracting both sides with 48 we get:
[tex]632=8x[/tex]
Now, dividing both sides by 8 we get:
[tex]79=x[/tex]
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.