What is the area of the figure below? A.41.5 square feet
B.45.5 square feet
C.67.5 square feet
D.69.5 square feet

D. 69.5 square feet

Step-by-step explanation:

Area of the figure = area of the triangle + area of the rectangle

= ½*b*h + L*W

Where,

b = 5 ft

h = 13 - 6 = 7 ft

L = 13 ft

W = 4 ft

Plug in the values

Area = ½*5*7 + 13*4

Area = 17.5 + 52

Area = 69.5 ft²

∞ this is your sign

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.