Question

The perimeter of a rectangular atrium is 104 inches. The length of the atrium is three times the width. Find the length and the width.

Answer 1

Length = 39 inches , breadth = 13 inches

Explanation:

Given:

The perimeter of a rectangular atrium is 104 inches.

The length of the atrium is three times the width.

Question asked:

The length and the breadth of rectangular atrium = ?

Solution:

Let breadth of rectangular atrium =
`x`

Then, the length of rectangular atrium =
`3x` (given)

Perimeter of rectangle =
`2*(length + breadth)`

`104 = 2*( 3x + x )`

`104 = 2* 4x`

`104 = 8x`

Dividing both side by 8

`13 = x`

breadth of rectangular atrium =
`x` = 13 inches

length of rectangular atrium =
`3x` =
`3 *13 = 39` inches

Thus, length and the breadth of rectangular atrium are 39 and 13 inches.