Area and Perimeter Together
Grade 3 · Math · Area and Perimeter · Nebraska, USA
Lesson Summary
Shapes can have the same perimeter but different areas, or the same area but different perimeters.
Explanation
A rectangle that is 1 by 6 has a perimeter of 14 and an area of 6. A rectangle that is 2 by 5 has a perimeter of 14 but an area of 10. Even though the perimeters are the same, the areas are different. Knowing both area and perimeter helps you solve real-world problems like fencing a garden (perimeter) and figuring out how much grass to plant inside (area).
Practice Questions
Q1: A rectangle is 4 cm by 3 cm. Find both its perimeter and area.
Answer: Perimeter = 14 cm (2 × (4 + 3) = 14). Area = 12 cm² (4 × 3 = 12).
Q2: Two rectangles both have an area of 12 cm². One is 3 by 4. Give another possible rectangle.
Answer: 2 by 6, because 2 × 6 = 12 (or 1 by 12).
Q3: You want to put a fence around a 5 m by 5 m garden. How much fencing do you need?
Answer: 20 m, because the perimeter is 4 × 5 = 20.
People Also Ask
What is Area and Perimeter Together in Grade 3 Math?+
Area and Perimeter Together is a lesson in the Area and Perimeter chapter of Grade 3 Math. It is part of the Nebraska, USA school curriculum and covers key concepts that students need to understand at this level.
What grade level covers Area and Perimeter Together?+
Area and Perimeter Together is taught in Grade 3 as part of the Math curriculum in Nebraska, USA.
How can I help my child with Area and Perimeter in Math?+
Start with the lesson summary and explanation on this page. Practice the questions provided, then use TutorTom for personalized, step-by-step help with Area and Perimeter topics.