A 12-foot by 15-foot patio is increased by placing a stone border around the patio. The width of the border is the same all around the patio. The perimeter of the patio after it is expanded is 74 feet. A rectangle has a length of 15 feet and height of 12 feet. The equation which represents x, the width of the border is 2 left-bracket (12 + 2 x) + (15 + 2 x) right-bracket = 74. What is the width of the border? 2 and one-half feet 3 feet 5 feet 8 and one-half feet

Step-by-step explanation:

8 1/2

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.