1. 13
2. 9 or 38 not really sure
3.1595
4.. 810
Answer:
The answer is below
Step-by-step explanation:
She decides the width of the board should be atleast 35% of the length.
Solution:
Let x represent the length of the bulletin board and y be the width of the bulletin board. Since there is 100 inches available, hence:
Perimeter = 2(length + width)
100 = 2(x + y)
x + y = 50
Also, since the width is 35% of the area, hence:
y = 35% of x
y = 0.35x
Since:
x + y = 50
x + 0.35x = 50
1.35x = 50
x = 37.04
x ≅ 38 inches to the next whole number
x + y = 50
y = 50 - 38
y = 12 inches
The bulletin board is 38 inches by 12 inches
So,
a parallelogram is forming here
then, opposite angels are going to be equal
so,
y = (x+50)°
now,
as you know that sum of all angles of a quadrulateral equals 360°
so,
2 {(x+50)+(x-30)}=360°
(x+50)+(x-30) = 180°
2x + 20 = 180
2x = 160
x = 80°
therefore,
angle y = (x+50) = 80 +50 = 130°
and x = (x-30) = 80 - 30 = 50°
