Question

HELP ME WITH THIS ONE PLEASE ✊ (The problem is in the picture)

Answer 1

Answer/Step-by-step explanation:

Length of rectangle = $l$

Width of rectangle = $\frac{1}{3} of l - 1 = \frac{1}{3}l - 1 = \frac{l}{3} - 1$

A. Expression for finding area of the rectangle:

Area of rectangle is given as $length*width$

$Area = l(\frac{l}{3} - 1)$

Or

$Area = l*\frac{l}{3} - l*1$

$Area = \frac{l^2}{3} - l$

b. Expression for finding perimeter:

Perimeter of rectangle is given as $2(Length + Width)$

$Perimeter = 2(l + (\frac{l}{3} - 1))$

Or

$Perimeter = 2(l) + 2(\frac{l}{3} - 1)$

$Perimeter = 2l + \frac{2l}{3} - 2)$

c. Quotient of Perimeter divided by area:

$2(l + (\frac{l}{3} - 1))$ ÷ $l(\frac{l}{3} - 1)$

$2(l + (\frac{l}{3} - 1))$ ÷ $\frac{l^2 - 3l}{3}$

Change the ÷ to × and flip the fraction on your right upside down.

$2(l + (\frac{l}{3} - 1)) * \frac{3}{l^2 - 3l}$

$2l + 2(\frac{l}{3} - 1) * \frac{3}{l^2 - 3l}$