A rectangular monitor has a length of x inches and a width that is one third of its length. If the perimeter of the monitor is 48 inches, what is the value of x?

Answer 1

Length(L) = x in.

Width(W) = 1/3 L

= 1/3 x in.

Given perimeter = 48 in.

Since, the monitor is rectangle => Perimeter of the rectangle = 2(L+W).

Explanation of the formula for perimeter of the rectangle:-

Perimeter is the sum of all the sides, for rectangle as we have 2 lengths(opposite to each other) and

2 breadths(opposite to each other), sum of the 2 L and 2 W is 2L+2W => 2(L+W).

Now, substituting all the given values:

Perimeter=2(L+W)

48 = 2(x+1/3 x)

48 = 2(4/3 x)

48 = 8/3 x

x = 48 * 3/8

x = 6 * 3

x = 18.

Hence, the value of x is 18 in.