Perimeter and Area with Missing Variables

Front

What is the formula for the perimeter of a rectangle?

Back

Perimeter = 2(length + width)

Front

If the perimeter of a rectangle is 34 metres and the width is 4 metres, how do you find the length?

Back

Use the formula: Length = (Perimeter/2) - Width. Here, Length = (34/2) - 4 = 13 metres.

Front

What is the formula for the area of a rectangle?

Back

Area = length × width

Front

What is the formula for the area of a square?

Back

Area = side × side (or side²)

Front

If a square has a perimeter of 20 cm, what is the length of one side?

Back

Side = Perimeter/4 = 20 cm/4 = 5 cm.

Front

What is the formula for the area of a trapezium?

Back

Area = 1/2 × (Base1 + Base2) × Height

Front

If the bases of a trapezium are 10 cm and 6 cm, and the height is 4 cm, what is the area?

Back

Area = 1/2 × (10 + 6) × 4 = 32 cm².

Front

What is the difference between perimeter and area?

Back

Perimeter is the total distance around a shape, while area is the amount of space inside a shape.

Front

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

Back

Perimeter = 4 × side = 4 × 6 cm = 24 cm.

Front

If the area of a rectangle is 84 m² and the width is 7 m, what is the length?

Back

Length = Area/Width = 84 m²/7 m = 12 m.