Area of Combined Shapes Worksheet

Are you a teacher or parent looking for a comprehensive worksheet to help your students understand and practice finding the area of combined shapes? Look no further! This worksheet is designed specifically for students in middle school or high school who are studying geometry.

  Surface Area of Compound Shapes Worksheet

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  Political Cartoon School Grades

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  Volume of Pyramid Worksheet

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  Order Operations Problems

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  Order Operations Problems

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  Order Operations Problems

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  Order Operations Problems

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  Order Operations Problems

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  Order Operations Problems

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  Order Operations Problems

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  Order Operations Problems

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  Order Operations Problems

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  Order Operations Problems

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  Order Operations Problems

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  Order Operations Problems

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  Order Operations Problems

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What is the area of a rectangle with a length of 5 units and a width of 3 units?

The area of the rectangle with a length of 5 units and a width of 3 units is 15 square units. This is found by multiplying the length (5 units) by the width (3 units), which gives us 15 square units.

What is the area of a square with a side length of 7 units?

The area of a square with a side length of 7 units is 49 square units. This is calculated by squaring the side length, so 7 * 7 = 49.

What is the area of a triangle with a base length of 10 units and a height of 4 units?

The area of the triangle is 20 square units. This can be calculated by using the formula for the area of a triangle, which is 1/2 multiplied by the base length (10 units) multiplied by the height (4 units), giving us 1/2 * 10 * 4 = 20 square units.

What is the area of a circle with a radius of 6 units?

The area of a circle with a radius of 6 units is 113.1 square units, calculated using the formula A = ?r^2, where A is the area and r is the radius.

What is the area of a parallelogram with a base length of 8 units and a height of 5 units?

The area of a parallelogram is calculated by multiplying the base length by the height. In this case, the area of the parallelogram with a base length of 8 units and a height of 5 units would be 8 units x 5 units = 40 square units.

What is the area of a trapezoid with bases measuring 6 units and 10 units, and a height of 3 units?

The area of a trapezoid can be calculated using the formula: \( \text{Area} = \frac{1}{2}(b_1 + b_2)h \), where \( b_1 \) is the length of the first base, \( b_2 \) is the length of the second base, and \( h \) is the height. Plugging in the values given, the area of the trapezoid with bases measuring 6 units and 10 units, and a height of 3 units would be \( \frac{1}{2}(6 + 10) \times 3 = \frac{1}{2}(16) \times 3 = 8 \times 3 = 24 \) square units. Hence, the area of the trapezoid is 24 square units.

What is the area of a rhombus with diagonals measuring 8 units and 6 units?

The area of a rhombus can be calculated using the formula 1/2 * (d1 * d2), where d1 and d2 are the lengths of the diagonals. Substituting the given values (8 units and 6 units) into the formula, the area of the rhombus would be 1/2 * (8 * 6) = 24 square units.

What is the total area of a rectangle with a length of 4 units and a width of 7 units, and a square with a side length of 5 units?

The total area of the rectangle with a length of 4 units and a width of 7 units is 28 square units (4 units x 7 units = 28 square units). The area of the square with a side length of 5 units is 25 square units (5 units x 5 units = 25 square units). Therefore, the total area of both shapes combined is 53 square units (28 square units + 25 square units = 53 square units).

What is the total area of a triangle with a base length of 6 units and a height of 2 units, and a rectangle with a length of 3 units and a width of 9 units?

The total area of the triangle with a base length of 6 units and a height of 2 units is 6 square units. The total area of the rectangle with a length of 3 units and a width of 9 units is 27 square units. Therefore, the total area of both shapes combined is 33 square units.

What is the total area of a circle with a radius of 5 units, and a triangle with a base length of 7 units and a height of 4 units?

The total area of a circle with a radius of 5 units is 78.54 square units (?r^2 = ?(5)^2 = 3.14 x 25 = 78.54). The area of a triangle with a base length of 7 units and a height of 4 units is 14 square units (1/2 base x height = 1/2 x 7 x 4 = 14). Therefore, the total area of both shapes combined would be 92.54 square units (78.54 + 14 = 92.54).