The width of a rectangle is y feet long. the rectangle is 4 feet longer than it is wide. what is the area of the rectangle? which expression represents the area? y(y + 4) sq ft y + 4 sq ft 4y sq ft y2 + 4 sq ft

The area of the rectangle is y(4+y) feet² .

Step-by-step explanation:

Formula

Area of the rectangle = Length × Breadth

As given

The width of a rectangle is y feet long. The rectangle is 4 feet longer than it is wide.

Breadth = y

Length = 4 + y

Putting all the values in the formula

Area of the rectangle = y × 4 + y

                                    = y(4 + y) feet²

Therefore the area of the rectangle is y(4+y) feet² .

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.