Area of Various Shapes

find the area of the circle below.

• 100 cm

• 225 cm

• 9 cm

• 28.26 cm

Find the area

• 41

• 45

• 44

• 43

What is the area of a rectangle with a length of 8 metres and a width of 5 metres?

• 13 square metres

• 40 square metres

• 30 square metres

• 20 square metres

Answer explanation

The area of a rectangle is calculated by multiplying the length by the width. Here, 8 metres (length) x 5 metres (width) = 40 square metres. Therefore, the correct answer is 40 square metres.

A triangle has a base of 10 cm and a height of 6 cm. What is its area?

• 30 square centimetres

• 60 square centimetres

• 20 square centimetres

• 40 square centimetres

Answer explanation

The area of a triangle is calculated using the formula: Area = 1/2 × base × height. Here, Area = 1/2 × 10 cm × 6 cm = 30 square centimetres. Thus, the correct answer is 30 square centimetres.

• 28.26 square metres

• 18.84 square metres

• 9.42 square metres

• 37.68 square metres

Answer explanation

The area of a circle is calculated using the formula A = πr². For a radius of 3 metres, A = 3.14 × (3)² = 3.14 × 9 = 28.26 square metres. Thus, the correct answer is 28.26 square metres.

Find the area of a parallelogram with a base of 12 cm and a height of 5 cm.

• 60 square centimetres

• 30 square centimetres

• 50 square centimetres

• 40 square centimetres

Answer explanation

The area of a parallelogram is calculated using the formula: Area = base × height. Here, Area = 12 cm × 5 cm = 60 square centimetres, making the correct answer 60 square centimetres.

Calculate the area of a trapezoid with bases of 8 cm and 5 cm, and a height of 4 cm.

• 26 square centimetres

• 32 square centimetres

• 20 square centimetres

• 18 square centimetres

Answer explanation

The area of a trapezoid is calculated using the formula: Area = 1/2 * (base1 + base2) * height. Here, Area = 1/2 * (8 + 5) * 4 = 26 square centimetres, which is the correct answer.

What is the area of a rhombus with diagonals measuring 10 cm and 8 cm?

• 40 square centimetres

• 80 square centimetres

• 20 square centimetres

• 60 square centimetres

Answer explanation

The area of a rhombus can be calculated using the formula: Area = (d1 * d2) / 2, where d1 and d2 are the lengths of the diagonals. Here, Area = (10 cm * 8 cm) / 2 = 40 square centimetres.

A square has an area of 64 square metres. What is the length of one side?

• 6 metres

• 8 metres

• 10 metres

• 12 metres

Answer explanation

To find the length of one side of a square, take the square root of the area. The area is 64 square metres, so the length of one side is √64 = 8 metres.

Calculate the area of a triangle with sides measuring 6 cm, 8 cm, and 10 cm.

• 24 square centimetres

• 30 square centimetres

• 48 square centimetres

• 36 square centimetres

Answer explanation

To find the area of a triangle with sides 6 cm, 8 cm, and 10 cm, we can use Heron's formula. The semi-perimeter is 12 cm. The area is √(12(12-6)(12-8)(12-10)) = √(12*6*4*2) = √576 = 24 cm².