Answer:
The expression representing the perimeter of the platter will be:
P = 10/3x units
Hence, option (D) is true.
Step-by-step 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
[tex]P=2\left(x\:+\:\frac{2}{3}x\right)[/tex]
[tex]=2\cdot \frac{5}{3}x[/tex] ∵ [tex]x\:+\:\frac{2}{3}x=\:\frac{5}{3}x[/tex]
[tex]=\frac{10x}{3}[/tex] units
Therefore, the expression representing the perimeter of the platter will be:
P = 10/3x units
Hence, option (D) is true.
