Estimate the area of the irregular shape. explain your method and show your work.

now, this is just an estimate of its area, check the picture below.

the yellow and green rectangles are mostly inside area, and can be compensated by some of the small sections outside the rectangles themselves.

the yellow rectangle is a 5x4 so it has an area of 20 units and the green rectangle is a 4x3 rectangle with an area of 12 units, for a combined area of 20 + 12 = 32 square units.

the part of the figure that is outside of both of those rectangles, we can more or less use "some" of it to complete the red rectangles above, which are 5 for 5 units.

combining the yellow, green and red rectangles, we get a 32 +5 = 37 squared units estimate.

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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