A rectangle is ( x + 6 ) meters long and ( 2 x − 1 ) meters wide. Which expression represents the PERIMETER of the rectangle?

6x +10

Step-by-step explanation:

Perimeter = 2*(length + width)

 = 2* (x+6 + 2x-1)

=2*(3x +5)

=2*3x + 2*5

=6x + 10

P = 6x + 10

Step-by-step explanation:

Perimeter of a rectangle

= 2(L + W)

Where L = length

W = width

Given

L= (x + 6)

W =(2x - 1)

Perimeter = 2( x+6 + 2x -1)

Simplify the bracket first

P = 2(x + 2x +6 - 1)

P = 2(3x + 5)

Now , expand the bracket

P = 2 x 3x + 2 x 5

P = 6x + 10

step-by-step explanation:

hjkj

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)