How to Find Area and Perimeter of Joined Rectangles: Stepwise Guide for Students
FAQs on Area and Perimeter of Irregular Rectangular Shapes – Class 6 Worksheet
1. How do you find the area of irregular rectangular shapes?
To find the area of an irregular rectangular shape, you must first divide it into smaller, regular rectangles and then add their areas together. This method involves three simple steps:
- Step 1: Split the composite figure into simple rectangles or squares using horizontal or vertical lines.
- Step 2: Calculate the area of each individual rectangle using the formula Area = Length × Breadth.
- Step 3: Add the areas of all the smaller rectangles to get the total area of the irregular shape.
2. How do you calculate the perimeter of two joined rectangles?
The perimeter of a composite figure made of two joined rectangles is calculated by adding the lengths of all its outer sides only. You must ignore the internal lines where the shapes are joined.
- First, identify all the external boundary lines of the combined shape.
- Next, add the lengths of these outer sides to find the total perimeter.
- Do not include the length of the side shared between the two rectangles.
3. What is the difference between area and perimeter for Class 6?
The main difference is that area measures the space inside a shape, while perimeter measures the distance around its boundary. For a Class 6 student, it's important to remember:
- Area: It is the total surface covered by a two-dimensional figure, measured in square units (e.g., cm², m²).
- Perimeter: It is the total length of the outline of a shape, measured in linear units (e.g., cm, m).
4. Does this Class 6 maths worksheet on area and perimeter include answers?
Yes, this Class 6 maths area and perimeter worksheet comes with a complete answer key. The provided solutions are detailed and stepwise, which helps students check their work and understand the correct method for solving each problem involving irregular rectangular shapes.
5. Is this area and perimeter worksheet for Class 6 printable?
Absolutely. This area and perimeter worksheet for Class 6 is designed as a free printable PDF. You can easily download the file and print it for convenient use at home for homework, in the classroom for practice, or for exam revision.
6. What is the best way to use this worksheet for homework or revision?
This worksheet is an excellent tool for both maths homework and revision as it reinforces key geometry concepts with varied practice problems. For homework, students can solve the questions to solidify what they learned in class. For revision, it helps identify weak spots in calculating the area and perimeter of composite figures before an exam.
7. What is a composite figure in Class 6 Maths?
A composite figure, also known as a composite shape, is a two-dimensional figure made by combining two or more simple geometric shapes. In this Class 6 worksheet, the irregular rectangular shapes are composite figures created by joining multiple rectangles together.
8. How do you find the area of a shaded region in an irregular shape?
To find the area of a shaded region, you typically subtract the area of the unshaded part from the total area of the larger shape. The process involves these steps:
- Step 1: Calculate the total area of the entire outer figure.
- Step 2: Calculate the area of the non-shaded inner part.
- Step 3: Subtract the smaller area (unshaded) from the larger area (total) to find the final shaded area.
9. What formula is used to find the area of composite rectangular figures?
There is no single, unique formula for a composite figure; instead, you use the basic rectangle formula and addition. The method involves breaking the shape down and applying the formula Area = Length × Breadth to each part, then summing the individual areas to get the total.
10. Is this worksheet aligned with the NCERT syllabus for Grade 6?
Yes, this worksheet is fully aligned with the latest NCERT syllabus for Grade 6 Maths. The questions are designed to cover key concepts of area and perimeter of irregular rectangular shapes as prescribed in the curriculum, making it a reliable resource for exam preparation.
