10 Area of Rectangle:

A rectangle is a four-sided polygon with opposite sides that are equal in length and four right angles. One of the important measurements used to determine the size of a rectangle is its area. The area of a rectangle can be calculated by multiplying its length by its width. Here are 10 different parts or areas of a rectangle that can be helpful to know:

1. Length: The longer side of a rectangle, usually denoted by the letter ‘L’.
2. Width: The shorter side of a rectangle, usually denoted by the letter ‘W’.
3. Perimeter: The total distance around the outside of the rectangle, calculated by adding the lengths of all four sides.
4. Diagonal: A line segment that connects two non-adjacent vertices of the rectangle, creating a right triangle.
5. Base: A side of the rectangle on which it rests or is supported.
6. Height: The vertical distance from the base to the top or from the top to the base of the rectangle.
7. Area: The amount of space inside the rectangle, calculated by multiplying the length and width.
8. Circumscribed Circle: A circle that encompasses the entire rectangle, with its center located at the intersection of the diagonals.
9. Inscribed Circle: A circle that lies within the rectangle and is tangent to all four sides.
10. Center: The point at which the diagonals of the rectangle intersect, dividing each diagonal into equal halves.

Knowing these different aspects of a rectangle can be useful when solving problems involving measurements, calculations, or geometric properties. It’s important to understand how these concepts relate to one another in order to accurately determine the dimensions and characteristics of a rectangle.

Create an attractive exam question:

Question:

A rectangular garden has a length that is 5 meters more than its width. The perimeter of the garden is 40 meters. Find the area of the garden.

Options:
A) 60 square meters
B) 72 square meters
C) 80 square meters
D) 90 square meters

In this question, we are given that the length of the garden is 5 meters more than its width. Additionally, the perimeter of the garden is given as 40 meters. To find the area of the garden, we need to use the given information to determine the values of the length and width.

Let’s denote the width as ‘W’ and the length as ‘L’. According to the question, we know that:

L = W + 5 —(1)
2(L + W) = 40 —(2) (since the perimeter is the sum of all four sides)

Using equation (1), we can substitute the value of ‘L’ in equation (2):

2((W + 5) + W) = 40

Expanding and simplifying:

2(2W + 5) = 40
4W + 10 = 40
4W = 30
W = 7.5 meters

Substituting the value of ‘W’ back into equation (1):

L = 7.5 + 5
L = 12.5 meters

Now that we know the width and length of the garden, we can calculate its area by multiplying the width and length:

Area = Width x Length
Area = 7.5 meters x 12.5 meters
Area = 93.75 square meters

Therefore, the correct answer is not provided among the given options. The area of the garden is 93.75 square meters.
10個矩形的不同部分或區域：

矩形是一個有四個相對邊長相等及四個直角的四邊形。用於確定矩形大小的重要測量之一是其面積。矩形的面積可以通過將其長度乘以寬度來計算。以下是關於矩形的10個不同部分或區域，這些將對您有所幫助：

1. 長度：矩形的長邊，通常用字母’L’表示。
2. 寬度：矩形的短邊，通常用字母’W’表示。
3. 周長：矩形外部的總周長，通過將所有四邊的長度相加來計算。
4. 對角線：連接矩形的兩個非相鄰頂點的線段，形成一個直角三角形。
5. 底：矩形所靠或支撐的一邊。
6. 高度：從底部到頂部的垂直距離，或從頂部到底部的垂直距離。
7. 面積：矩形內部的空間大小，通過將長度和寬度相乘來計算。
8. 外接圓：一個包圍整個矩形的圓，其中心位於對角線的交點。
9. 內接圓：位於矩形內部並且與四邊皆切於一點的圓。
10. 中心：矩形對角線交點的位置，將每條對角線均等分成兩半。

了解這些矩形的不同方面在解決涉及尺寸、計算或幾何特性的問題時非常有用。為了準確確定矩形的尺寸和特性，重要的是理解這些概念之間的相互關係。

創建一個有吸引力的考試問題：

問題：

一個矩形花園的長度比其寬度長5米。花園的周長為40米。求花園的面積。

選項：
A) 60平方米
B) 72平方米
C) 80平方米
D) 90平方米

在這個問題中，我們知道花園的長度比其寬度長5米。此外，花園的周長給出為40米。要找到花園的面積，我們需要使用給定的信息來確定長度和寬度的值。

讓我們將寬度表示為’W’，長度表示為’L’。根據問題，我們知道：

L = W + 5 —(1)
2(L + W) = 40 —(2) （因為周長是所有四邊長的總和）

使用方程(1)，我們可以將方程(2)中的’L’的值代入：

2((W + 5) + W) = 40

展開並簡化：

2(2W + 5) = 40
4W + 10 = 40
4W = 30
W = 7.5米