Mathematics
Write the co-ordinates of the vertices of a rectangle which is 6 units long and 4 units wide if the rectangle is in the first quadrant, its longer side lies on the x-axis and one vertex is at the origin.
Answer
The points are shown on the graph below:
Given,
The rectangle which is 6 units long and 4 units wide is shown in the graph.
Rectangle is in the first quadrant.
Longer side lies on x-axis and one vertex is at origin A(0, 0).
Steps of construction :
Mark point A(0, 0).
At a distance of 6 units on x-axis mark point B(6, 0).
From B draw a line segment parallel to y-axis and mark point C on it at distance of 4 units.
From C draw a line segment parallel to x-axis and mark point D on it at distance of 6 units.
Join DA.
Hence, coordinates of the rectangle are A(0, 0), B(6, 0), C(6, 4) and D(0, 4).
Related Questions
Three vertices of a square are A(2, 3), B (-3, 3) and C (-3, -2). Plot these points on a graph paper and hence use it to find the co-ordinates of the fourth vertex. Also find the area of the square.
Plot the points (0, 2), (3, 0), (0, -2) and (-3, 0) on a graph paper. Join these points (in order). Name the figure so obtained and find the area of the figure obtained.
The adjoining figure shows an equilateral triangle OAB with each side = 2a units. Find the coordinates of the vertices.
In the adjoining figure, ABCD is a rectangle with length 6 units and breadth 3 units. If O is the mid-point of AB, find the coordinates of A, B, C and D.