Rectangle is one of the basic shapes in plane geometry. The formula for calculating the area of a rectangle is simple and practical, widely applied in real-life scenarios such as measuring apartment space or wardrobe area.
If you're unsure about how to calculate the area of a rectangle, dive into this article for a clear explanation and specific examples.
Formula for Calculating Rectangle Area
HOW TO CALCULATE RECTANGLE AREA
A rectangle is a convex quadrilateral with 4 right angles. Its properties include: 2 pairs of opposite sides parallel, 2 adjacent sides perpendicular, equal diagonals intersecting at midpoints. The shorter side is called the width, and the longer side is called the length.
The formula for calculating the area of a rectangle is: S = length x width (Rectangle area is the product of length and width, in square meters.)
APPLICATION EXERCISES
Exercise 1: Calculate the area of a classroom given its width and length as 5 m and 7 m respectively.
Solution:
The problem provides: The width of the classroom is 5 m, and the length is 7 m.
Apply the formula for calculating the area of a rectangle immediately:
The area of the classroom is: S = 5 x 7 = 35 m2
Answer: 35 m2
Exercise 2: Given rectangle ABCD, where AB is 9 cm. E is a point on AB, such that AE is twice the length of EB. The area of triangle ADE is 12 cm2. Find the area of rectangle ABCD.
Solution:
Since AE = 2 EB and AB = 9 cm, we deduce that AE = 6 cm.
According to the properties of a rectangle, ADE forms a right-angled triangle at A.
Applying the formula for the area of a right-angled triangle: S = 1⁄2 AE x AD => AD = S : 1⁄2 AE = 12 : 3 = 4 cm
Thus, we have AD = 4 cm, AB = 10 cm. Applying the formula for the area of a rectangle, we get:
S = length x width = 10 x 4 = 40 cm2
Answer: 40 cm2
For more information, you can visit this link. Here, you find definitions, formulas, and specific examples to help you master problems related to the area of rectangles. For more complex problems like calculating the area of a trapezoid, rhombus, pentagon, etc., you need to analyze and connect the information in the article to determine the accurate dimensions for calculating the area.
