1. A flower bed in a garden is in the shape of a triangle. The longest side is 3 times the
smallest side and the smallest side is 2 units shorter than the intermediate side. Let P
represents the length of the smallest side. Then what is the perimeter in terms of P?
2. The length of a rectangular dining hall is twice its breadth.
Let x represents the breadth of
the hall. What is the area of the floor of the hall in terms of x?
In the above situations, there is an "unknown" in each. In the first situation, the smallest
side is given as ‘P’ units.
Since, Perimeter of triangle = sum of all sides
Perimeter = P + 3P + P + 2
= 5P + 2
Similarly in the second situation, length is given as twice the breadth.
So, if breadth = x, then length =2x
Since area of rectangle = lb
Area = (2x) (x)
= 2 x
2
As you know, the perimeter, 5P + 2 of the triangle and the area 2x
2 of the rectangle are
in the form of polynomials of different degrees.
