Question

Write the given statement in the form of algebraic expression and write whether it is monomial, binomial or trinomial: Area of a triangle with base $m$ and height $n$.

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 area of triangle with base $m\mathrm{units}$ and height $n\mathrm{units}$ is,

$$\begin{gathered} \mathrm{Area}=\frac{1}{2}\times \mathrm{base}\times \mathrm{height} \\ =\frac{1}{2}\times m\times n \\ =\frac{mn}{2}\mathrm{square}\mathrm{units} \end{gathered}$$

Identify the above expression as monomial, binomial or trinomial.

The obtained expression consists of one terms, so it is a monomial.

Therefore, the obtained expression for area of triangle is $\frac{mn}{2}$ and it is a monomial.