Step 1) Divide up the figure
In this figure, there is a triangle, a small rectangle, and two larger rectangles. The triangle is 6 in x 9 in, the small rectangle is 3 in x 18 in, one of the large rectangles (center) is 8 in x 14 in, and the other large rectangle (bottom) is 5 in x 9 in.
Step 2) Find the area of each shape in the figure
Triangle: A = 1/2 x 6 x 9 = 27
Small rectangle: A = 3 x 18 = 54
Large rectangle (center): A = 8 x 14 = 112
Large rectangle (bottom): A = 5 x 9 = 45
Step 3) Add the area of each shape together
A = 27 + 54 + 112 + 45 = 238 square inches
Hope this helps! :)
36 equally-likely outcome: (1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), (2,3), (2,4), (2,5), (2,6), (3,1), (3,2), (3,3), (3,4), (3,5), (3,6), (4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (6,1),(6,2), (6,3), (6,4), (6,5), (6,6)
Solution:
Outcomes with first number being old number and second being even number: (1,2), (1,4), (1,6), (3,2), (3,4), (3,6), (5,2), (5,4), (5,6) = 9 outcomes
P(old,even) = 9/36 =1/4 = 0.25
Perimeter is the addition of all the sides
x-2+x+3x+1=2x-5+x+4+6x-7; since their perimeters are equal
5x-1=9x-8
collect the like terms
-1+8=9x-5x
7=4x
x=7/4
x=1.75