Question

find the perimeter and area of the figure below. figure is not drawn right angles are right angles. 11 6 13 16 24 44 the perimeter of the figure is units the area of the figure is units² question help: video 1 video 2

Explanation:

Step1: Find the perimeter

We add up all the side - lengths.
$13 + 11+6 + 24+44 + 16+(16 + 6)+(24 - 11)=13 + 11+6 + 24+44 + 16+22+13$
$=(13 + 11)+6 + 24+44 + 16+22+13$
$=24+6 + 24+44 + 16+22+13$
$=(24 + 6)+24+44 + 16+22+13$
$=30+24+44 + 16+22+13$
$=(30 + 24)+44 + 16+22+13$
$=54+44 + 16+22+13$
$=(54 + 44)+16+22+13$
$=98+16+22+13$
$=(98 + 16)+22+13$
$=114+22+13$
$=(114 + 22)+13$
$=136+13$
$=149$

Step2: Find the area

We can split the figure into two rectangles.
The first rectangle has dimensions $44\times16$ and the second rectangle has dimensions $11\times(24 - 16)=11\times8$.
The area of the first rectangle $A_1 = 44\times16=704$.
The area of the second rectangle $A_2=11\times8 = 88$.
The total area $A=A_1+A_2=704 + 88=792$.

Answer:

The perimeter of the figure is $149$ units.
The area of the figure is $792$ units$^2$.