Area & Perimeter of a Rectangle calculator uses length and width of a rectangle, and calculates the perimeter, area and diagonal length of the rectangle. It is an online Geometry tool requires two length sides of a rectangle. Using this calculator, we will understand the algorithm of how to find the perimeter, area and diagonal length of a rectangle. Show
Input : Two positive real numbers or parameters as the length and width of a rectangle; Rectangle Formula : Perimeter of Rectangle Formula: The perimeter of a rectangle is determined by the following formula $$P=2\times a+2\times b=2\times(a+b)$$ where $a$ and $b$ are the length and width of the rectangle, respectively. Area of Rectangle Formula: The area of a rectangle is determined by the following formula $$A=a\times b$$ where $a$ and $b$ are the length and width of the rectangle, respectively. Length of Diagonal of Rectangle Formula: The diagonal of a rectangle is determined by the following formula $$d=\sqrt{a^2+b^2}$$ where $a$ and $b$ are the length and width of the rectangle, respectively.
What is Area & Perimeter of Rectangle?A quadrilateral with four congruent angles is a rectangle. The word "rectangle" comes from Latin "rectangulus". It's a combination of "rectus" which means "right" and "angulus" which means "an angle". $$m\angle A=m\angle B=m\angle C=m\angle D=\frac{{360}^o}{4}={90}^o$$ The lengths of its sides are denoted by $a$ and $b$, while the length of the diagonal is denoted with $d$. A rectangle is also called an equiangular quadrilateral, since all of its angles are congruent.
Rectangle satisfies one more property:
If we know side lengths of the rectangle, it is easy to calculate the length of the diagonal using the Pythagorean Theorem. A diagonal divides a rectangle into two right triangles. By applying the Pythagorean Theorem to $\Delta ABC$, we get $$d^2={\overline{AB}}^2+{\overline{BC}}^2=a^2+b^2$$ i.e. $$d=\sqrt{a^2+b^2}$$ The rectangle has only two lines of symmetry. These lines are these ones which connect the midpoints of the opposite sides of the rectangle. A rectangle has central symmetry and rotational symmetry. The center of symmetry is the point of intersection of its diagonals, $O$. The distance around a rectangle is called the perimeter of the rectangle. It is usually denoted by $P$. To find the perimeter of rectangle we add the lengths of its sides. Thus, the perimeter of a rectangle with the length of $a$ and the width of $b$ is $$P =a+b+a+b= 2 \times a+2\times b=2\times(a+b)$$ The area of a rectangle or some other polygon is a number of square units needed to fill the rectangle. The area, usually denoted by $A$, of a rectangle with the length of $a$ and the width of $b$ is $$A =\mbox{length}\times\mbox{width}=a\times b$$ In other words, the area of a rectangle is the product of its length and width. The area and perimeter of a rectangle work with steps shows the complete step-by-step calculation for finding the perimeter, area and diagonal length of the rectangle with the length of $5\;in$ and the width of $10 \;in$ using the perimeter, area and diagonal length formulas. For any other values for length and width of rectangle, just supply two positive real numbers and click on the GENERATE WORK button. The grade school students may use this area and perimeter of a rectangle to generate the work, verify the results of perimeter and area of two dimensional figures or do their homework problems efficiently. Real World Problems Using Area & Perimeter of a RectangleCalculating areas and perimeters of various geometrical figures are very useful in real life problems. Rectangles often appear in real life. For instance, billboards, swimming pools, mobile phones, beds, doors, books. etc. If we need to make a deck
along two sides of a swimming pool of rectangular shape, we must use the method for finding area of rectangle. Rectangle Practice ProblemsPractice Problem 1: Practice Problem 2: The Area Perimeter of a Rectangle calculator, formula, example calculation (work with steps), real world problems and practice problems would be very useful for grade school students (K-12 education) to understand the concept of perimeter and area of rectangle. This concept can be of significance in geometry, to find the perimeter and area of complex figures, as well as to find surface area and volume of some solids. Real life problems on rectangles involving length, width, area, perimeter and diagonal are very common, so this can be of great the importance of solving. How do you find the length of a side of a rectangle with the area?Because a square has four sides of equal length, the area is given by A = L2. If you know the area, you can immediately determine the length of each side, because it's the square root of the area. The length of each side of the square is the square root of 20, which is 4.47 meters.
How do you find the dimensions of a rectangle calculator?How do I calculate the width of a rectangle?. If you have the area A and length h , its width w is w = A/h .. If you have the perimeter P and length h , its width is w = P/2−h .. If you have the diagonal d and length h , it's width can be found with w = √(d²−h²) .. |