Answer:
<u>364 cm²</u>
Step-by-step explanation:
Area of the figure :
- Area (triangle) + Area (rectangle 1) + Area (rectangle 2) + Area (rectangle 3)
- 1/2 x 20 x 14 + 12 x 9 + 7 x 3 + 19 x 5
- 140 + 108 + 21 + 95
- 248 + 21 + 95
- 269 + 95
- <u>364 cm²</u>
Answer:
There are 7 sides.
Step-by-step explanation:
Let's Use the formula that states that the sum of the angles of an n-sided polygon is given by.
S=(n−2)180
Since we are given that the two angles are right, the angles and each of the remaining angles is 144.
And Therefore, the sum is:
S=90
(n−2)144
(n−2)180
=90
+90
+(n−2)144
⇒(n−2)180
−(n−2)144
=180
⇒(n−2)(180
−144
)=180
⇒(n−2)(36
=180
⇒n−2=
36
180
⇒n−2=5
⇒n=5+2=7
Hence, the polygon has 7 sides.