Question

find the perimeter and area of the figure below. figure is not drawn to scale. right angles are right angles. 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.
$13 + 12+6 + 20+45 + 20+13+(45 - 12 - 6)=13\times2+12 + 6+20\times2+45+(45 - 12 - 6)$
$=26+12 + 6+40+45+27$
$=156$

Step2: Find the area

We can split the figure into two rectangles. One rectangle has dimensions $45\times20$ and the other has dimensions $12\times(20 + 6)$.
The area of the first rectangle $A_1=45\times20 = 900$.
The area of the second rectangle $A_2=12\times26=312$.
The total area $A = A_1+A_2=900 + 312=1212$.

Answer:

The perimeter of the figure is $156$ units.
The area of the figure is $1212$ units².