Question

5 Half the perimeter of a rectangular garden, whose length is 4 m more than its width, is
36 m Find the dimensions of the garden.
Given the linear equation 2x + - 80 write another linear equation in two variables
such that the geometrical representation of the pair so formed is:
intersecting lines
(in parallel lines
coincident lines
Draw the graphs of the equations r-y+ 1 = 0 and 3x - 2y - 12 = 0. Determine the
coordinates of the vertices of the triangle formed by these lines and the x-axis, and
shade the triangular region.​

Answer 1

Answer:

length of the rectangle be = x m

Let Width of the rectangle be = y m

According to the question,

y – x = 4 ... (i)

y + x = 36 ... (ii)

y – x = 4

y = x + 4

y + x = 36

Graphical representation

From the figure, it can be seen that these lines intersect each other at only one point i.e., (16, 20).

Therefore, the length and width of the given garden is 20 m and 16 m respectively

Answer 2

linear equation for 2x +(-80)

for intersecting lines is equal 3x +(-40) and 2x+4y -48

for coincident lines 4x+(-160)