Question

One side of a rectangle is three yards longer than twice the length of the other side. If the perimeter is 27 yards, what is the length of the other side? Please help I'll give brainliest

Answer 1

Answer:

Length of sides ;

3.5 yards ; 10 yards.

Step-by-step explanation:

Let :

Side 1 = x

Side 2 = y

x = 2y + 3

Perimeter (P) of rectangle = 2(side1 + side2)

Perimeter, P = 27

P = 2(x + y)

27 = 2(2y + 3 + y)

27 = 2(3y + 3)

27 = 6y + 6

27 - 6 = 6y

21 = 6y

y = 21/6

y = 3.5

From ; x = 2y + 3

x = 2(3.5) + 3

x = 7 + 3

x = 10

Answer 2

Length of the other side of the rectangle will be 10 yards.

Perimeter of a quadrilateral:

• Perimeter of a quadrilateral is given by sum of all the sides.

       Perimeter of a rectangle = 2(Length + Width)

Given in the question,

• One side of the rectangle is three yards longer than twice of the other side.
• Perimeter of the rectangle = 27 yards

Let one side of the rectangle = x yards

Therefore, other side of the rectangle = (2x + 3) yards

Substitute the values in the expression for the perimeter,

Perimeter = 2[x + (2x + 3)]

27 = 2(3x + 3)  [Simplify the equation]

27 = 6x + 6

6x = 21

x = 3.5 yards

Other side of the rectangle = (2x + 3) yards

                                              = 2(3.5) + 3

                                              = 10 yards

      Therefore, length of the other side of the rectangle will be 10 yards.

Learn more about the perimeter of a quadrilateral here,

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