Perimeter of Rectangle with Diagonal
To find the perimeter of a rectangle when given the length of its diagonal, you can use the relationship between the diagonal, length, and width of a rectangle.
Let’s denote:
- d as the length of the diagonal
- l as the length of the rectangle
- b as the breadth of the rectangle
The relationship between the diagonal and the sides of the rectangle can be expressed using the Pythagorean theorem:
d2 = l2 + b2
Solving this equation for one of the variables, say l, we get:
l2 =d2 − b2
Given the length l and breadth b, the perimeter P of the rectangle is:
P = 2l + 2b
Substitute l = √(d2 − b2) into the perimeter equation:
P =2 √(d2 − b2) + 2b
This formula gives you the perimeter of the rectangle in terms of its diagonal d and breadth b.
Perimeter of Rectangle
A rectangle is a two-dimensional plane quadrilateral, with opposite sides equal and all four angles equal. The perimeter of a rectangle can be defined as the sum of the length of all four sides in a rectangle.
In this article, we are going to learn how to find the perimeter of rectangles using formulas, with the help of examples.