Evidence Check Area and Perimeter of Polygons

Front

What is the formula for the area of a triangle?

Back

The area of a triangle is given by the formula: \( \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \)

Front

What is the formula for the area of a parallelogram?

Back

The area of a parallelogram is given by the formula: \( \text{Area} = \text{base} \times \text{height} \)

Front

What is the formula for the perimeter of a square?

Back

The perimeter of a square is given by the formula: \( P = 4 \times \text{side} \)

Front

What is the formula for the area of a trapezoid?

Back

The area of a trapezoid is given by the formula: \( \text{Area} = \frac{1}{2} \times (b_1 + b_2) \times h \) where \( b_1 \) and \( b_2 \) are the lengths of the bases and \( h \) is the height.

Front

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

Back

The area is \( 16 \text{ cm}^2 \) (since \( 4 \times 4 = 16 \)).

Front

If a rectangle has a length of 5 cm and a width of 3 cm, what is its area?

Back

The area is \( 15 \text{ cm}^2 \) (since \( 5 \times 3 = 15 \)).

Front

What is the perimeter of a rectangle with a length of 8 cm and a width of 3 cm?

Back

The perimeter is \( 22 \text{ cm} \) (since \( 2 \times (8 + 3) = 22 \)).

Front

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

Back

The area is \( 25 \text{ cm}^2 \) (since \( \frac{1}{2} \times 10 \times 5 = 25 \)).

Front

What is the perimeter of a square with a side length of 6 cm?

Back

The perimeter is \( 24 \text{ cm} \) (since \( 4 \times 6 = 24 \)).

Front

If the area of a parallelogram is 40 cm² and the base is 8 cm, what is the height?

Back

The height is 5 cm (since \( \text{Area} = ext{base} \times ext{height} \Rightarrow 40 = 8 \times h \Rightarrow h = 5 \)).