Geometry and Measurement Mastery Quiz

Calculate the area of a kitchen floor that needs tiling, with a length of 8 meters and a width of 5 meters.

Answer explanation

To calculate the area of the kitchen floor, multiply the length by the width: 8 meters x 5 meters = 40 m^2. Therefore, the correct answer is 40 m^2.

Find the total length of fencing required to enclose a triangular garden with sides measuring 7 cm, 5 cm, and 9 cm.

• 21 cm

• 23 cm

• 19 cm

• 22 cm

Answer explanation

To find the total length of fencing, add the lengths of all three sides: 7 cm + 5 cm + 9 cm = 21 cm. Therefore, the correct answer is 21 cm.

• 25.12 cm

• 12.56 cm

• 8 cm

• 50.24 cm

Answer explanation

The total length of the circular garden border can be calculated using the formula 2 * π * radius. Substituting the values, we get 2 * 3.14 * 4 = 25.12 cm. Therefore, the correct choice is 25.12 cm.

Calculate the area of a wall to be painted, if the width of the wall is 10 cm and the height is 6 cm.

Answer explanation

To calculate the area of the wall, multiply the width (10 cm) by the height (6 cm) which gives 60 cm². Therefore, the correct answer is 60 cm².

Imagine you're building a custom garden bed with trapezoidal shape, where the longer base is 12 cm and the shorter base is 8 cm, and the non-parallel sides are both 5 cm. What is the total length of wood you would need to frame the entire garden bed?

• 30 cm

• 25 cm

• 20 cm

• 35 cm

Answer explanation

To find the total length of wood needed, add the lengths of all sides: 12 cm + 8 cm + 5 cm + 5 cm = 30 cm. Therefore, you would need 30 cm of wood to frame the entire garden bed.

Answer explanation

The area of the composite figure is calculated by adding the area of the rectangle (24 m^2) and half the area of the circle (6.14 m^2), totaling 30.14 m^2. Therefore, the correct answer is 30.14 m^2.

Calculate the area of a wall to be painted, with a length of 12 cm and a width of 3 cm.

Answer explanation

To calculate the area of the wall, multiply the length by the width: 12 cm * 3 cm = 36 cm^2. Therefore, the correct answer is 36 cm^2.

Find the total length of fencing required to enclose a triangular garden with sides measuring 10 cm, 6 cm, and 8 cm.

• 22 cm

• 24 cm

• 20 cm

• 18 cm

Answer explanation

To find the total length of fencing, add the lengths of all three sides: 10 cm + 6 cm + 8 cm = 24 cm. However, since the fencing only goes around the perimeter, we need to subtract the longest side (10 cm) to avoid double counting, giving us 24 cm - 10 cm = 14 cm. Finally, add the longest side back in to get the total length of fencing required: 14 cm + 10 cm = 24 cm.

• 31.4 cm

• 62.8 cm

• 15.7 cm

• 20 cm

Answer explanation

The circumference of a circle is calculated using the formula: Circumference = π * diameter. Substituting the values, Circumference = 3.14 * 10 = 31.4 cm. Therefore, the total length of the edge needed is 31.4 cm.

Calculate the area of a wall to be painted, with a width of 15 cm and a height of 4 cm.

Answer explanation

To calculate the area of the wall, multiply the width (15 cm) by the height (4 cm): 15 cm * 4 cm = 60 cm². Therefore, the correct answer is 60 cm².