Question

recall that perimeter measures the distance around a plane - figure, and area measures the amount of surface of a plane - figure. the expression 2l + 2w gives the perimeter of the rectangle below (measured in units), and the expression lw gives its area (measured in square units). complete the table below for the given length and width.
length (l) width (w)
4.6 in. 1.4 in.
perimeter of rectangle (2l + 2w)
area of rectangle (lw)
perimeter of rectangle (2l + 2w)=□ (type an integer or a decimal.)

Explanation:

Step1: Calculate the perimeter

The formula for the perimeter of a rectangle is $P = 2L+2W$. Given $L = 4.6$ in and $W = 1.4$ in. Substitute the values: $2\times4.6+2\times1.4$.
$2\times4.6 = 9.2$ and $2\times1.4=2.8$. Then $9.2 + 2.8=12$.

Step2: Calculate the area

The formula for the area of a rectangle is $A = LW$. Substitute $L = 4.6$ in and $W = 1.4$ in. So $A=4.6\times1.4 = 6.44$.

Answer:

Perimeter of rectangle ($2L + 2W$) = $12$
Area of rectangle ($LW$) = $6.44$