how many squares and rectangles can be drawn by a set of 4 straight parallel lines perpendicular to another set of 4 parallel lines
Answers
Answer:
- Hey! Mate here is your answer.....
Let number of vertical line be n.. and numbwr of horizontal line be m
The number of rectangle formed by intersection of these lines are
(n-1)*(m-1)
(4-1)*(4-1)
3*3 =9
...sorry but I only know about rectangle
14 squares and 9 rectangles can be formed.
To find :
How many squares and rectangles can be drawn using the given data.
Given :
Parallel lines = 4
Perpendicular lines = 4
With above given data, diagram is drawn which is attached below.
Finding squares :
From the diagram ( 1 ), there are 9 square boxes.
From the diagram ( 2 ), there are 4 square boxes.
From the diagram ( 3 ), there is 1 square box.
Hence, number of square boxes = 9 + 4 + 1 = 14 square boxes.
Finding rectangles :
From the diagram ( 4 ), rectangles formed by n and m lines.
So, number of rectangles = (n - 1) × (m - 1)
Here, n = 4 ; m = 4.
Number of rectangles = (4 - 1) × (4 - 1)
= 3 × 3
= 9 rectangle boxes.
Hence, number of rectangle boxes is 9.
Therefore, 14 squares and 9 rectangles can be drawn.
To learn more...
1. There are 4 horizontal and 4 vertical lines, parallel and equidistant to one another on a board. what is the maximum number of rectangle and squares that can be formed?
brainly.in/question/1260449
2. If 2 parallel lines are intersected by a transversal, prove that the bisectors of the two pairs of interior angles encloses a rectangle.
brainly.in/question/769531
