Explanation:
The perimeter of a rectangle is given as
P = 2( Length + width)
Let the length be l
let the width be w
The room is 1.7times as along as its wide
Mathematically
The length of the room is 1.7 times its wide
L = 1.7 * w
l = 1.7w
The perimeter of the room = 27 meters
P = 2(l + w)
27 = 2(1.7w + w)
27 =2(2.7w)
27 = 5.4w
Isolate w by dividing through by 5.4
27/5.4 = 5.4w/5.4
w = 5 meters
Lenght = 1.7*w
Length = 1.7 x 5
Length = 8.50 meters
Hence, the dimension of the room is length =