Margot is sewing a ribbon on a seam along the perimeter of a square pillow. the side length of the pillow is 2x2 + 1 inches, and its perimeter is 4(2x2 + 1) inches. if x = 3.5, how much ribbon does she need?

Length of ribbon required = 102 inches

Step-by-step explanation:

Since length of square is given to be  

perimeter of square = 4 x side

Perimeter of given square = 4 ()

for x = 3.5

value of perimeter = 4

                               =4 {2(12.25) +1

                                = 4(24.5+1)

                               = 4 (25.5)

                              = 102 inches

Length of ribbon required = perimeter of Square pillow

therefore length of ribbon required will be 102 inches.

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)