The perimeter of a rectangular table is 680 centimeters. If the length of the table is 24
centimeters more than thrice the width of the table, find the dimensions of the table.

Respuesta :

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.

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