Question

find the perimeter and area of the figure below. figure is not right angles are right angles. the perimeter of the figure is 156 × units the area of the figure is 1212 × units² question help: video 1 video 2

Explanation:

Step1: Calculate the perimeter

Perimeter is the sum of all side - lengths.
$13 + 20+45 + 20+6 + 12+(20 + 13 - 6)+(45 - 12)=13 + 20+45 + 20+6 + 12+27+33 = 176$

Step2: Calculate the area

We can split the figure into two rectangles.
The first rectangle has dimensions $45\times20$ and the second has dimensions $12\times(20 + 13 - 6)=12\times27$.
The area of the first rectangle is $A_1=45\times20 = 900$.
The area of the second rectangle is $A_2=12\times27=324$.
The total area $A = A_1+A_2=900 + 324=1224$.

Answer:

The perimeter of the figure is 176 units.
The area of the figure is 1224 units².