Question

PLEAS HELP!!!!

Answer 1

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

$P=2\left(x\:+\:\frac{2}{3}x\right)$

    $=2\cdot \frac{5}{3}x$             ∵ $x\:+\:\frac{2}{3}x=\:\frac{5}{3}x$

    $=\frac{10x}{3}$ units

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

P = 10/3x units

Hence, option (D) is true.