For number 16:
Use the vertical pencil line you have drawn to split the polygon.
12-4=8
3*8=24
12*4=24
24+24=48
48 is the area of 16
For number 17:
Split the polygon in half
Find the area of both of the parallelograms
6*20=120
6*20=120
120+120=240
The area of shape 17 is 240
Answer:
120 degrees
Step-by-step explanation:
Answer:
The measure of the arc of the circular basin = 136°
Step-by-step explanation:
The measure of an angle formed when two line intercepts outside a circle is half the difference of the measure of the intercepted arcs.
Mathematically, the is represented as:
Measure of an angle = 1/2(big angle - Small angle)
This values are given in the question
Measure of an angle = Measure of angle formed by tangents to the fountain = 44°
big angle is represented by = 360°-x
small angle is represented by = x
Therefore, we have
44° = 1/2( 360° - x -x)
44° = 1/2(360° - 2x)
Cross multiply
44° × 2 = 360° - 2x
88° = 360° - 2x
88° - 360° = - 2x
-272° = -2x
x = -272/-2
x = 136°
The measure of the arc of the circular basin = 136°
the √8=2.82842712
so 2.82842712*2.82842712=8
