Area Calculation Quiz for Grade 6

What is the area of a square with a side length of 5 metres?

• 10 square metres

• 20 square metres

• 25 square metres

• 30 square metres

Answer explanation

The area of a square is calculated by squaring the side length. Here, 5 metres squared is 5 x 5 = 25 square metres. Therefore, the correct answer is 25 square metres.

Calculate the area of a rectangle with a length of 8 metres and a width of 3 metres.

• 11 square metres

• 24 square metres

• 30 square metres

• 32 square metres

Answer explanation

To find the area of a rectangle, multiply the length by the width. Here, area = 8 metres * 3 metres = 24 square metres. Thus, the correct answer is 24 square metres.

A triangle has a base of 10 metres and a height of 4 metres. What is its area?

• 20 square metres

• 30 square metres

• 40 square metres

• 50 square metres

Answer explanation

The area of a triangle is calculated using the formula: Area = 0.5 × base × height. Here, Area = 0.5 × 10 m × 4 m = 20 square metres. Thus, the correct answer is 20 square metres.

Find the area of a trapezoid with bases of 6 metres and 10 metres, and a height of 5 metres.

• 30 square metres

• 40 square metres

• 50 square metres

• 60 square metres

Answer explanation

The area of a trapezoid is calculated using the formula: Area = 1/2 * (base1 + base2) * height. Here, Area = 1/2 * (6 + 10) * 5 = 1/2 * 16 * 5 = 40 square metres. Thus, the correct answer is 50 square metres.

If a square has an area of 64 square metres, what is the length of one side?

• 6 metres

• 7 metres

• 8 metres

• 9 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 side length is √64 = 8 metres. Therefore, the correct answer is 8 metres.

A rectangle has an area of 45 square metres and a width of 5 metres. What is its length?

• 7 metres

• 8 metres

• 9 metres

• 10 metres

Answer explanation

To find the length of the rectangle, use the formula: Area = Length × Width. Given the area is 45 m² and width is 5 m, we have 45 = Length × 5. Solving for Length gives Length = 45 / 5 = 9 metres.

The base of a triangle is 12 metres and its height is 6 metres. What is the area?

• 72 metres

• 18 metres

• 36 metres

• 47 metres

Answer explanation

The area of a triangle is given by the formula: Area = 0.5 * base * height. Here, 36 = 0.5 * 12 * height. Solving for height gives height = 6 metres. Thus, the correct answer is 6 metres.

A rectangle has a length of 10 metres and a width of 5 metres. What is its area?

• 50 square metres

• 55 square metres

• 60 square metres

• 65 square metres

Answer explanation

To find the area, first calculate the length using the perimeter formula: P = 2(length + width). Here, 30 = 2(length + 5), so length = 10. Area = length × width = 10 × 5 = 50 square metres.