The length of a rectangle is l and the width of the rectangle is w. which statement explains why the perimeter of the rectangle can be found using l + w + l + w or 2l + 2w? the perimeter of any figure with four or more sides is the sum of all of its sides or the sum of twice the lengths of opposite sides. the perimeter of a rectangle is the sum of its length and width. the perimeter of a rectangle is the sum of all four sides of the rectangle. two sides have length l, and two sides have length w. the perimeter of a rectangle is the sum of twice l and twice w. the perimeter of a rectangle is the sum of the lengths of its four sides, which are each 2l and 2w.

In this question , it is given that The length of a rectangle is l and the width of the rectangle is w.

And to find the perimeter, we have to add all four sides of the rectangle. Two sides are of length l and two sides are of width w,

So the perimeter is

And the correct option is the third option .

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

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.