Area Of 2D Shapes

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3. The area of the shape is given. Find the unknown length.missing length = _____ m

The missing length is 4m. This is because all the given lengths are the same, indicating that the shape is a square. In a square, all sides are equal in length. Therefore, the missing length must also be 4m.

Explanation

The missing length is 4m. This is because all the given lengths are the same, indicating that the shape is a square. In a square, all sides are equal in length. Therefore, the missing length must also be 4m.

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4. Find the area of the triangle. Area = _____ mm²

The provided figure shows a right-angled triangle, where the base and height are perpendicular to each other. The area of a triangle is calculated as half the product of its base and height. In this case, the base is 13 mm and the height is 10 mm. Therefore, the area of the triangle is (1/2) * 13 mm * 10 mm = 65 mm².

Explanation

The provided figure shows a right-angled triangle, where the base and height are perpendicular to each other. The area of a triangle is calculated as half the product of its base and height. In this case, the base is 13 mm and the height is 10 mm. Therefore, the area of the triangle is (1/2) * 13 mm * 10 mm = 65 mm².

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5. Find the area of this ISOSCELES triangleArea = _____ m²

The area of an isosceles triangle can be found by multiplying the base length by the height and dividing the result by 2. In this case, since the base length and the height are not given, we cannot determine the area of the triangle. Therefore, the answer cannot be determined based on the information provided.

Explanation

The area of an isosceles triangle can be found by multiplying the base length by the height and dividing the result by 2. In this case, since the base length and the height are not given, we cannot determine the area of the triangle. Therefore, the answer cannot be determined based on the information provided.

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7. Work out he area of this shape.Area = _____ m²

The given question asks to calculate the area of the shape, which is represented by the answer 20. The area is typically measured in square units, such as square meters. Therefore, the area of the shape is 20 square meters.

Explanation

The given question asks to calculate the area of the shape, which is represented by the answer 20. The area is typically measured in square units, such as square meters. Therefore, the area of the shape is 20 square meters.

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8. Find the area of this shape: Area = _____ cm²

Divide the shape: Divide the L-shaped figure into two rectangles. One rectangle has dimensions 2 cm by 5 cm, and the other has dimensions 2 cm by 4 cm.

Calculate the area of each rectangle:

Area of the first rectangle: 2 cm * 5 cm = 10 cm²

Area of the second rectangle: 2 cm * 4 cm = 8 cm²
Add the areas: Total area = 10 cm² + 8 cm² = 18 cm²

Explanation

Divide the shape: Divide the L-shaped figure into two rectangles. One rectangle has dimensions 2 cm by 5 cm, and the other has dimensions 2 cm by 4 cm.

Calculate the area of each rectangle:

Area of the first rectangle: 2 cm * 5 cm = 10 cm²

Area of the second rectangle: 2 cm * 4 cm = 8 cm²
Add the areas: Total area = 10 cm² + 8 cm² = 18 cm²

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9. Work out the area of this trapezium. Area = _____ cm²

The area of a trapezium is calculated using the formula:

Area = (1/2) * (sum of parallel sides) * height

In this case, the parallel sides are 2 cm and 4 cm, and the height is 3 cm.

Therefore, the area of the trapezium is:

Area = (1/2) * (2 cm + 4 cm) * 3 cm Area = (1/2) * 6 cm * 3 cm Area = 3 cm * 3 cm Area = 9 cm²

Explanation

The area of a trapezium is calculated using the formula:

Area = (1/2) * (sum of parallel sides) * height

In this case, the parallel sides are 2 cm and 4 cm, and the height is 3 cm.

Therefore, the area of the trapezium is:

Area = (1/2) * (2 cm + 4 cm) * 3 cm Area = (1/2) * 6 cm * 3 cm Area = 3 cm * 3 cm Area = 9 cm²

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10. Find the area of this shape.Give your answer in mm² then in cm²Area = _____ mm² =_____ cm²

The given shape has an area of 30 mm². To convert this to cm², we divide by 100 since there are 100 mm in 1 cm. Therefore, the area in cm² is 0.3 cm². Additionally, 0.30 cm² is also a correct representation of the area in cm², as it is the same value but with an extra zero after the decimal point.

Explanation

The given shape has an area of 30 mm². To convert this to cm², we divide by 100 since there are 100 mm in 1 cm. Therefore, the area in cm² is 0.3 cm². Additionally, 0.30 cm² is also a correct representation of the area in cm², as it is the same value but with an extra zero after the decimal point.

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11. The area of this triangle is given. Work out the missing length._____ cm

The given triangle is an equilateral triangle, which means all sides are equal. Since the area is given, we can use the formula for the area of an equilateral triangle, which is (sqrt(3)/4) * side^2. By plugging in the given area, we can solve for the missing length. In this case, the missing length is 16 cm, as all sides of the triangle are equal.

Explanation

The given triangle is an equilateral triangle, which means all sides are equal. Since the area is given, we can use the formula for the area of an equilateral triangle, which is (sqrt(3)/4) * side^2. By plugging in the given area, we can solve for the missing length. In this case, the missing length is 16 cm, as all sides of the triangle are equal.

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