Plot the point B (5, 3), E(5, 1), S(0, 1) and T(0, 3) and answer the following:
ii) Find the area of figure.

Answer

To find the area of the figure formed by the points B(5, 3), E(5, 1), S(0, 1), and T(0, 3), we will follow these steps:

### Step 1: Plot the Points
First, we need to plot the points on a coordinate plane:
- Point B(5, 3) is located at x = 5 and y = 3.
- Point E(5, 1) is located at x = 5 and y = 1.
- Point S(0, 1) is located at x = 0 and y = 1.
- Point T(0, 3) is located at x = 0 and y = 3.

### Step 2: Identify the Shape
After plotting the points, we can see that:
- Points B and E are vertical on the line x = 5.
- Points S and T are vertical on the line x = 0.
- The points B and T are connected by a horizontal line, as well as points E and S.

This forms a rectangle BEST.

### Step 3: Calculate the Length and Breadth
To find the area of the rectangle, we need to determine its length and breadth:
- The length of the rectangle can be found by calculating the distance between points B and E (or S and T) along the y-axis:
- Length = |y-coordinate of B - y-coordinate of E| = |3 - 1| = 2 units.

- The breadth of the rectangle can be found by calculating the distance between points B and T (or E and S) along the x-axis:
- Breadth = |x-coordinate of B - x-coordinate of T| = |5 - 0| = 5 units.

### Step 4: Calculate the Area
The area of a rectangle is given by the formula:
\[ \text{Area} = \text{Length} \times \text{Breadth} \]
Substituting the values we found:
\[ \text{Area} = 2 \, \text{units} \times 5 \, \text{units} = 10 \, \text{square units} \]

### Final Answer
The area of the figure formed by the points B, E, S, and T is **10 square units**.

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