Find the perimeter and the area of the composite shape..

area- 36.07 cm^2

perimeter- 28cm

Step-by-step explanation:

1) we could break the composite shape into 2 seperate shapes:

1 shape- measuring 3.1 by 3.4 cm

2nd shape- measuring (3.1)+(3.8)cm by 3.7 cm

since both shapes are rectangles we can find area by multiplying length and width

so 3.1*3.4=10.54

and 3.1+3.8=6.9

6.9*3.7=25.53

we can add both areas up to get TOTAL area of figure:

25.53+10.54=36.07

area- 36.07 cm

to find perimeter: there are 2 unknown sides in this figure, the bottom side length can be found out by adding 3.1 and 3.8, which is 6.9 and the side adjacent to the bottom one can be found by adding 3.4 and 3.7, which is 7.1

now we add up all the numbers: 3.1+3.4+3.8+3.7+6.9+7.1= 28

28 cm

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is