Polynomials
If two adjacent sides of a rectangle are $$5x^2 + 25xy + 4y^2$$ and $$2x^2 - 2xy + 3y^2$$, find its area.
Write the following statements in the form of algebraic expressions and write whether it is monomial, binomial or trinomial. Area of a square with side $$x$$
Area of a square $$=side \times side$$
Therefore, the area of a square with side $$x \Rightarrow x \times x=x^2$$
The expression, we obtained is $$x^2$$ which has only one term, so it is a monomial.
$$\textbf{Hence, the required expression is }$$ $$x^2 \textbf{ and is a monomial.}$$
If two adjacent sides of a rectangle are $$5x^2 + 25xy + 4y^2$$ and $$2x^2 - 2xy + 3y^2$$, find its area.
Find the areas of rectangles with the following pairs of monomials as their lengths and breadths respectively: $$(5xy, 7xy^2)$$
The sum of areas of two squares with sides 4a and 4b is:
The height of a triangle is $$x^{4} + y^{4}$$ and its base is $$14xy$$. Find the area of the triangle.
The base of a parallelogram is $$(2x + 3)$$ units and the corresponding height is $$(2x - 3)$$ units. Find the area of the parallelogram in terms of $$x$$. What will be the area of parallelogram of $$x = 30$$ units?
Write the following statement in the form of algebraic expressions and write whether it is monomial, binomial or trinomial. Area of a triangle with base $$m$$ and height $$n$$
Amisha has a square plot of side $$m$$ and another triangular plot with base and height each equal to $$m$$. What is the total area of both plots?