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

The dimensions of rectangular table are length = 79 centimeters and width = 261 centimeters.

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.