Area of 2D shapes

Front

What is the formula for the area of a triangle?

Back

The area of a triangle is given by the formula: \( A = \frac{1}{2} \times base \times height \) where 'base' is the length of the base and 'height' is the perpendicular height from the base to the opposite vertex.

Front

What is the formula for the area of a rectangle?

Back

The area of a rectangle is calculated using the formula: \( A = length \times width \) where 'length' is the longer side and 'width' is the shorter side.

Front

What is the formula for the area of a circle?

Back

The area of a circle is given by the formula: \( A = \pi r^2 \) where 'r' is the radius of the circle.

Front

How do you find the area of a parallelogram?

Back

The area of a parallelogram is calculated using the formula: \( A = base \times height \) where 'base' is the length of the base and 'height' is the perpendicular height from the base to the opposite side.

Front

What is the area of a triangle with a base of 10 cm and a height of 5 cm?

Back

Using the formula \( A = \frac{1}{2} \times base \times height \), the area is \( A = \frac{1}{2} \times 10 \times 5 = 25 \ cm^2 \).

Front

What is the area of a rectangle with a length of 8 m and a width of 3 m?

Back

Using the formula \( A = length \times width \), the area is \( A = 8 \times 3 = 24 \ m^2 \).

Front

What is the area of a circle with a radius of 7 cm?

Back

Using the formula \( A = \pi r^2 \), the area is approximately \( A \approx 3.14 \times 7^2 \approx 153.86 \ cm^2 \).

Front

What is the area of a square with a side length of 4 cm?

Back

The area of a square is calculated using the formula: \( A = side^2 \). Therefore, \( A = 4^2 = 16 \ cm^2 \).

Front

What is the area of a trapezoid with bases of 5 cm and 7 cm, and a height of 4 cm?

Back

The area of a trapezoid is given by the formula: \( A = \frac{1}{2} \times (base_1 + base_2) \times height \). Thus, \( A = \frac{1}{2} \times (5 + 7) \times 4 = 24 \ cm^2 \).

Front

What is the area of a triangle with sides of 6 cm, 8 cm, and 10 cm?

Back

Using Heron's formula, first calculate the semi-perimeter: \( s = \frac{6 + 8 + 10}{2} = 12 \). Then, the area is \( A = \sqrt{s(s-a)(s-b)(s-c)} = \sqrt{12(12-6)(12-8)(12-10)} = \sqrt{12 \times 6 \times 4 \times 2} = 24 \ cm^2 \).