Answer :
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 = [tex]x[/tex]
Then, the length of rectangular atrium = [tex]3x[/tex] (given)
Perimeter of rectangle = [tex]2\times(length + breadth)[/tex]
[tex]104 = 2\times( 3x + x )[/tex]
[tex]104 = 2\times 4x[/tex]
[tex]104 = 8x[/tex]
Dividing both side by 8
[tex]13 = x[/tex]
breadth of rectangular atrium = [tex]x[/tex] = 13 inches
length of rectangular atrium = [tex]3x[/tex] = [tex]3 \times13 = 39[/tex] inches
Thus, length and the breadth of rectangular atrium are 39 and 13 inches.