Test: Area and Perimeter - Year 4 MCQ

To find the length, use the formula for area: Area = Length × Width. Rearranging gives Length = Area ÷ Width. Thus, Length = 36 cm² ÷ 4 cm = 9 cm.

Kilometers are most appropriate for measuring the perimeter of a large park, as this unit is suitable for larger distances. For smaller objects, such as a stamp, millimeters would be used, but for large areas, kilometers provide a more practical measurement.

Estimating the area of a shape involves counting both whole squares and squares that are more than half-covered. This method provides a more accurate approximation of the area when precise measurements are not available.

The total area of the composite shape is obtained by adding the areas of the individual rectangles: 10 cm² + 15 cm² + 20 cm² = 45 cm². This total helps in determining material requirements for projects involving the shape.

The estimated area of the juice spill is 10 whole squares + 6 more-than-half-covered squares = 16 cm². This method of estimation allows for quick calculations in practical situations.

Area measurements are always expressed in square units, such as cm² or m². This distinction is crucial for understanding space and surface area, which are fundamental concepts in geometry and practical applications.

The area of the rectangle is calculated as 6 cm × 4 cm, resulting in an area of 24 cm². This calculation shows how much surface the rectangle covers.

To convert centimeters to millimeters, you multiply by 10, since there are 10 millimeters in every centimeter. This conversion is useful for precise measurements in small increments.

The formula for calculating the perimeter of a rectangle is 2 × (Length + Width). This accounts for both pairs of opposite sides, ensuring the total boundary length is computed accurately.

The area of a rectangle can be calculated by multiplying its length by its width. This formula, area = length × width, allows for easy determination of how much space is enclosed within the rectangle.

The total area of composite shapes is found by adding the areas of the individual shapes that make up the composite figure. This approach ensures that all parts of the shape are accounted for in the total area calculation.

The perimeter of the playground is calculated by adding all sides: 1 m + 8 m + 10 m + 10 m = 29 m. This total length indicates the boundary that needs to be fenced or enclosed.

The primary objective of estimating and measuring the perimeter of 2D shapes is to calculate the total length of the boundary of the shape. This is essential for practical applications like determining how much fencing is needed for a garden or playground.

Millimeters would be used as a unit of perimeter measurement when dealing with small objects, such as a stamp. For larger items, meters or kilometers would be more appropriate.

The perimeter is calculated using the formula 2 × (Length + Width). For this rectangle, it is 2 × (5 cm + 7 cm) = 2 × 12 cm = 24 cm, which indicates the boundary length of the rectangle.