# A rhombus with diagonals of 10 cm and 6 cm is cut out of a rectangle with sides of 12 cm and 9 cm

July 28, 2021 | education

| **A rhombus with diagonals of 10 cm and 6 cm is cut out of a rectangle with sides of 12 cm and 9 cm. Find the area of the remaining figure.**

Let us determine with the help of how many centimeters it is possible to represent the area of this rectangle, when from the condition of the task it is known that its dimensions are equal to 12 and 9 centimeters, respectively:

12 * 9 = 108.

Let us determine with the help of how many centimeters it is possible to represent the area of this rhombus, when from the condition of the task it is known that its diagonals are equal to 10 and 6 centimeters, respectively:

1/2 * 10 * 6 = 30.

Let’s determine what the area of the remaining figure will be equal to:

108 – 30 = 78.

Answer: 78 cm2.

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