The perimeter of rectangle is 44 inches. if the length of the rectangle is 7 more than half its width. what is the area of the rectangle . PLSS HELP

The area of the rectangle is 120 inches squared.

Step-by-step explanation:

First, identify what you know:

1) The perimeter of the rectangle is 44 inches.

2) The length of the rectangle is 7 more than half its width.

To solve the area of this rectangle, we need to know the width and length of the shape. First, it's important that we know the formula for finding the perimeter, and the area of a rectangle.

Perimeter = 2 x (L + W)

Area = L x W

Now, we can create a formula to demonstrate our problem

Perimeter (44 inches) = 2 (W + ((1/2 x W) + 7)))

Now, we can divide both sides in half, to simplify.

22 inches = (W + ((1/2 x w) + 7))

If you input the values 12, and 10, you'll see that it works!

22 inches = (10 + ((1/2 x 10) + 7))

22 inches = (10 + (5 + 7))

22 inches = (10 + 12)

122 inches = 22 inches

Now, using the Area formula, we can solve for the area of the rectangle, since we know the length and the width.

A = L x W

A = 12 X 10

A = 120 inches squared.

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.

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