Answer:
Length is 182 cm and width is 158 cm.
Step-by-step explanation:
Given:
Perimeter of rectangle table = 680 cm.
Let the width of the table be [tex]x[/tex].
Now according to given length of the table is 24 cm more than the race the width
hence length = [tex]24+x[/tex].
But perimeter of rectangle = 2(length+width)
Substituting the values we get;
[tex]2(24+x+x)=680\\24+2x=\frac{680}{2}\\\\24+2x=340\\2x=340-24\\2x=316\\\\x= \frac{316}{2}=158 \ cm[/tex]
Hence width = 158 cm
Now, length = 24 cm + width = 24 cm + 158 cm = 182 cm
Hence the dimension of table are 182 cm and 158 cm.