Question

geometry. measurement, data analysis
perimeter and area on a grid
find the perimeter and area of the shaded figure below.
1 unit
1 unit
perimeter = units
area = square units

Explanation:

Step1: Calculate the perimeter

Count the outer - side lengths. The shaded figure is a rectangle with length 4 units and width 2 units. The formula for the perimeter of a rectangle is $P = 2(l + w)$. Here, $l = 4$ and $w = 2$. So, $P=2\times(4 + 2)=12$ units.

Step2: Calculate the area

The formula for the area of a rectangle is $A=l\times w$. With $l = 4$ and $w = 2$, we have $A = 4\times2=8$ square units.

Answer:

Perimeter = 12 units
Area = 8 square units