Calculate the area of the irregular polygon shown belowanswer is 24 square options: 24 square inches 44 square inches 54 square inches 84 square inches

We divide the given figure into four parts as shown in the attachment

First we calculate the area of the three small rectangle that make up of the given figure. These small rectangles are named ABCD, EFGH and IJKL

Area of the rectangle ABCD = AB * AC

AC = 6 inches

AJ =MN = 12 inches

BE = 5 and FI = 5

AJ = AB+BE+EF+FI +IJ

12 = AB + 5+EF +5 + IJ

12-10 = AB + EF + IJ

AB + EF + IJ = 2

Since all the three segments are equal, AB = EF = IJ = 2/3

Area of rectangle ABCD = AB*AC = 2/3 * 6 = 4 square inches

Similarly area of rectangle EFGH = 4 square inches

Similarly area of rectangle IJKL = 4 square inches

Area of these small rectangles are named ABCD, EFGH and IJKL = 4 +4 +4 = 12 square inches

Now we have the area of the last big rectangle AMNJ = AM* MN

MN = 12 inches and AM = MC - AC = 7 - 6 = 1 inch

area of the last big rectangle AMNJ = 12 *1 = 12 square inches

Total area = area of small rectangles + area of big rectangle

Total area = 12 + 12 = 24 square inches (Option A)

sum= when you add is how much the whole amount is

distance= when you use angles and it means how far it goes

step-by-step explanation:

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be