Question

Write the given statement in the form of algebraic expression and write whether it is monomial, binomial or trinomial: Perimeter of a rectangle with length $p$ and breadth $q$.

Answer 1

Write algebraic expression of given statement and identify whether it is a monomial, binomial or trinomial.

An expression that contains only single term is known as monomial.

An expression that consist of two terms is known as binomial.

An expression that contains three terms is known as trinomial.

The perimeter of a rectangle with length $p$ and breadth $q$ is,

$\begin{array}{rcl}\mathrm{Perimeter}& =& 2\left(\mathrm{length}+\mathrm{breadth}\right)\\ & \Rightarrow & \mathrm{Perimeter}=2\left(\mathrm{p}+\mathrm{q}\right)\\ & \Rightarrow & \mathrm{Perimeter}=2\mathrm{p}+2\mathrm{q}\end{array}$

Identify the above expression as monomial, binomial or trinomial.

The obtained expression consist of two terms, so it is a binomial.

Therefore, the obtained expression for perimeter of rectangle is $\begin{array}{rcl}& & 2\mathrm{p}+2\mathrm{q}\end{array}$ and it is a binomial.