A playing card has an area of 50 square centimeters and a perimeter of 30 centimeters. What are the dimensions of the playing card?

The dimensions of playing card is L = 10 centimeter and W=5 centimeter, If the playing card has an area of 50 square centimeter and a perimeter of 30 centimeters.

Step-by-step explanation:

The given is,

                  Playing card has an area of 50 square centimeters

                  A perimeter of 30 centimeters

Step:1

                 A playing card is in the shape of rectangle,

                 Formula for perimeter of rectangle is,

                                      .........................(1)

                 Formula for area of rectangle is,

                                             ......................................(2)

                  Where, l - Length of rectangle

                             w - Width of rectangle

Step:2

                From the given values equation (1) becomes,

                                                         .............................(3)

                Width value in terms of length is calculated.

Step:2

                Equation (2) becomes,

              Solving the above equation,

Step:3

                 Equation (3) becomes,

                                                     w = 5 cm

Result:

           The dimensions of playing card is L = 10 centimeter and W = 5 centimeter, If the playing card has an area of 50 square centimeter and a perimeter of 30 centimeters.

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