Answer:
10
4
Step-by-step explanation:
Purple: This makes two trapezoids. A=(a+b)/2 times h
1st = (4+1)/2 x 1 = 2.5
2nd = (4+1)/2 x 3 = 5/2 x 3 = 2.5x3=7.5
Total = 2.5+7.5=10
Green: if you draw a line down the center, you can divide these into two more manageable triangles. A=1/2bh
1st = 1/2x2x2 = 2
2nd = 1/2x2x2 = 2
Total = 2+2=4
Answer: z = -7
Step-by-step explanation:
Simplify the equation so the Integer is on the right:
8 - 12z = 92
-12z + 8 = 92
Now subtract 8 from both sides:
-12z + 8 - 8 = 92 - 8
-12z = 84
Now divide both sides by 12 to get z by itself:
-12z/-12 = 84/-12
z = -7
Answer:

Step-by-step explanation:

Answer:
1. Area of rectangular rug is 
2. Area of triangular room is 
Step-by-step explanation:
This problem bothers on the mensuration of flat shapes, rectangle and triangle.
step one
let us start by solving for the area of the rectangular rug
given data
Area A = ?
Length l = 11 ft
Width w= 10 ft
we know that the area of a rectangle is expressed as

substituting our given data we have

step two
let us solve for the area of the triangular room
given data
Area A = ?
base b = 30 ft
height h= 22 ft
we know that the area of a triangle is expressed as

substituting our given data we have

Answer:
5m
and
-8n
Step-by-step explanation:
7m - 2m = 5m
and
-5n - 3n = -8n
Have a great day