The perimeter of a rectangle table is 680 cm if the length of the table is 24 cm more than the race the width of the table find the dimensions of the table

Respuesta :

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.