Andymath.com features free videos, notes, and practice problems with answers! Printable pages make math easy. Are you ready to be a mathmagician?
Notes
Questions
\(\textbf{1)}\) Find the area of this rectangle.
\(\textbf{2)}\) Find the perimeter of this rectangle.
\(\textbf{3)}\) A rectangle has an area of \(419.58\) meters\(^2\). The width is \(34.4\) meters. What is the length?
\(\textbf{4)}\) A rectangle has a perimeter of \(46.8\) feet. The length is \(18\) feet. What is the width?
Challenge Problems
\(\textbf{5)}\) What is the area of a rectangle with vertices at \((1{,}1),(7{,}1),(1{,}5)\) and \((7{,}5)\)?
\(\textbf{6)}\) What is the perimeter of a rectangle with vertices at \((0{,}0),(0{,}3),(4{,}0)\) and \((4{,}3)\)?
\(\textbf{7)}\) Find the area of this rectangle.
\(\textbf{8)}\) Find the perimeter of this rectangle.
See Related Pages\(\)
\(\bullet\text{ Geometry Homepage}\)
\(\,\,\,\,\,\,\,\,\text{All the Best Topics…}\)
\(\bullet\text{ Area and Perimeter of Triangles}\)
\(\,\,\,\,\,\,\,\,\)
\(\,\, A=\frac{1}{2}bh, \,\, P=s_1+s_2+s_3…\)
\(\bullet\text{ Area and Circumference of Circles}\)
\(\,\,\,\,\,\,\,\,\)
\(\,\, A= \pi r^2, \,\,C=2 \pi r…\)
\(\bullet\text{ Area of Trapezoids}\)
\(\,\,\,\,\,\,\,\,\)
\(A=\frac{1}{2}(b_1+b_2)\cdot h…\)
\(\bullet\text{ Area of Compound Figures}\)
\(\,\,\,\,\,\,\,\,\)
\(\)
In Summary
The area of a rectangle is the amount of space contained within its four sides. It is calculated by multiplying the length of the rectangle by its width. The perimeter of a rectangle is the distance around its outer edges. It is calculated by adding up the lengths of all four sides of the rectangle.
It’s important to note that the length and width of a rectangle can be interchanged, as the area and perimeter will still be the same. For example, a rectangle with a length of 4 units and a width of 6 units will have the same area and perimeter as the rectangle described above.
Area and perimeter of rectangles are typically taught in elementary or middle school mathematics classes. These concepts are usually introduced in the early grades and are built upon as students progress through their math education.
Here’s a fun fact about squares: A square with all sides of length 4 has an perimeter of 16 units and an area of 16 square units. It is the only square that has a perimieter and area that are numerically the same.
Real world examples of area and perimeter of rectangles
Measuring a room: When you’re trying to figure out how much paint or carpet you need to buy for a room, you’ll need to know the area of the floor or walls.
Building a fence: When you’re planning to build a fence around your yard, you’ll need to know the perimeter of the yard to determine how much fencing material you’ll need.
Planting a garden: If you’re planning to plant a rectangular garden bed, you’ll need to know the area of the bed to determine how many plants you can fit in it.
Wrapping a present: When you’re wrapping a present in rectangular wrapping paper, you’ll need to know the perimeter of the box to determine how much paper you need.
Topics related to area and perimeter of rectangles
Two-dimensional shapes: Rectangles are just one type of two-dimensional shape, and students will often study other shapes such as other quadrilaterals, triangles, and circles as well.
Volume: In addition to studying two-dimensional shapes, students may also learn about three-dimensional shapes and how to calculate their volume and surface area. The volume of a three-dimensional shape is the amount of space it occupies, and the surface area is the total area of all of the faces of the figure.
Geometry: Area and perimeter are important concepts in geometry, which is the study of shapes, sizes, and spatial relationships.
Measurement: Area and perimeter are also related to measurement, as they involve using standard units to measure lengths, widths, and distances.
Algebra: Students may also use algebraic equations to solve problems involving area and perimeter.
About Andymath.com
Andymath.com is a free math website with the mission of helping students, teachers and tutors find helpful notes, useful sample problems with answers including step by step solutions, and other related materials to supplement classroom learning. If you have any requests for additional content, please contact Andy at tutoring@andymath.com. He will promptly add the content.
Topics cover Elementary Math, Middle School, Algebra, Geometry, Algebra 2/Pre-calculus/Trig, Calculus and Probability/Statistics. In the future, I hope to add Physics and Linear Algebra content.
Visit me on Youtube, Tiktok, Instagram and Facebook. Andymath content has a unique approach to presenting mathematics. The clear explanations, strong visuals mixed with dry humor regularly get millions of views. We are open to collaborations of all types, please contact Andy at tutoring@andymath.com for all enquiries. To offer financial support, visit my Patreon page. Let’s help students understand the math way of thinking!
Thank you for visiting. How exciting!