Question

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.

Answer 1

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 $x$

And the length of the table be $24+3x$

Now, putting the formula of perimeter of rectangle to get the dimensions:

Perimeter = 2(length + width)

$680=2(x+(24+3x))$

$680=2(4x+24)$

$680=8x+48$

By subtracting both sides with 48 we get:

$632=8x$

Now, dividing both sides by 8 we get:

$79=x$

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.