Sue has to cut her grandma's grass this weekend and wants to know exactly how much area she will be cutting. Calculate the area of the polygon. Be sure to show all your work and explain your answer.

Six-sided polygon that includes two isosceles right triangles, one with height and base of 25 feet,

Total area = triangle 1 area + triangle 2 area + rectangle area= 312.5 + 32 + 280 = 624.5

Triangle1 area = height × base2

Triangle1 area = 25 × 252/ = 312.5

The other height and base of 8 feet,

Triangle 2 area = height × base2

Triangle 2 area = 8 × 8/2= 32

And one rectangle measuring 35 feet by 8 feet

Rectangle area = height × base 

Rectangle area = 35 × 8 = 280

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

answer: options

step-by-step explanation: