Arectangle has side lengths of (2x-5) meters and (2x+6) meters. write a linear expression in simplest form to represent the perimeter. find the perimeter if the value of x is 12 meters

P = 8x + 2

P = 98 when x = 12

Step-by-step explanation:

the perimeter is 2 times width + length

P = 2(w + l)

w = 2x - 5

l = 2x + 6

replacing both terms in the perimeter:

P = 2(2x - 5 + 2x + 6)

P = 2(4x + 1)

P = 8x + 2

Evaluating P for x = 12

P = 8(12) + 2

P = 98

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.