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

Answer:

Length = 39 inches , breadth = 13 inches

Step-by-step 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 = $2\times(length + breadth)$

                               $104 = 2\times( 3x + x )$

                               $104 = 2\times 4x$

                               $104 = 8x$

Dividing both side by 8

                               $13 = x$

breadth of rectangular atrium = $x$ = 13 inches

length of rectangular atrium = $3x$ = $3 \times13 = 39$ inches

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