Subjective Type

Find the areas of rectangles with the following pairs of monomials as their lengths and breadths respectively: $$(5xy, 7xy^2)$$

Solution

Given, sides are $$5xy$$ and $$7xy^2$$
Hence,
Area = $$5xy \times 7xy^2$$
= $$35x^{1+1} \times y^{1 + 2} = 35x^2y^3$$

SIMILAR QUESTIONS

Polynomials

If two adjacent sides of a rectangle are $$5x^2 + 25xy + 4y^2$$ and $$2x^2 - 2xy + 3y^2$$, find its area.

Polynomials

The sum of areas of two squares with sides 4a and 4b is:

Polynomials

The height of a triangle is $$x^{4} + y^{4}$$ and its base is $$14xy$$. Find the area of the triangle.

Polynomials

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?

Polynomials

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 $$n$$

Polynomials

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 $$x$$

Polynomials

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?

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