Question

5. Using a square dot sheet or a graph sheet draw a rectangle and construct a similar figure. Find the perimeter and areas of both and compare their ratios with the ratio of their corresponding sides​

Answer 1

Answer:

In the graph, there are two rectangles, one in black color, with length and breadth as 11 and 6 units. The second rectangle is red in color, with length and breadth 7 and 3 units.

Formula :

Perimeter of rectangle = 2 (length + breadth)

Area of rectangle = length * breadth

Rectangle 1 : Black color

Perimeter = 2(11 + 6) = 34 units

Area = 11 * 6 = 66 sq. unit

Rectangle 2 : Red color

Perimeter = 2(7+3) = 20 units

Area = 7*3 = 21 units

Comparison between rectangles

Ratio of length = \frac{11}{7}

7

11

Ratio of breadth = \frac{6}{3} =2

3

6

=2

Ratio of perimeter = \frac{34}{20} =\frac{17}{10}

20

34

=

10

17

Ratio of area = \frac{66}{21} =\frac{22}{7}

21

66

=

7

22