Question

PLEAS HELP!!!!

The width of a rectangular platter is 2/3 its length. If x represents the length of the platter, which expression represents the perimeter of the platter?

A.2/3x units
B.5/3x units
C. 5/2x units
D.10/3x units

Answer 1

The expression representing the perimeter of the platter will be:

P = 10/3x units

Hence, option (D) is true.

Explanation:

Let the length l of a rectangular platter will be = x

As the width of a rectangular platter is 2/3 its length.

so the width w of a rectangular platter will be = 2/3x

As the perimeter of the platter is defined as:

P=2(l+w)

where l is the length, and w is the width

substituting length l = x and width w = 2/3x

`P=2\left(x\:+\:(2)/(3)x\right)`

`=2\cdot (5)/(3)x` ∵
`x\:+\:(2)/(3)x=\:(5)/(3)x`

`=(10x)/(3)` units

Therefore, the expression representing the perimeter of the platter will be:

P = 10/3x units

Hence, option (D) is true.