Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Maths-

General

Easy

Question

Two sides of a rectangle are (3p+5q) units and ( 5p-7q ) units. What is its area?

hint Hint:

The concept used in the question is the area of a rectangle.
The area of the rectangle is the product of sides.

The correct answer is: Hence, the area of the rectangle is 15p2 + 4pq - 35q2 sq. units.

Answer:
Step by step explanation:
○ Given:
Two sides of a rectangle
(3p+5q) units and ( 5p-7q ) units.
○ Step 1:
We know, the area of rectangle is product of its sides
i.e. area = side × side
So,
Area = (3p+5q) × (5p-7q)
= 3p (5p -7q) + 5q(5p-7q)
= 15p² - 21pq + 25pq - 35q²
= 15p² + 4pq - 35q² sq. units

Final Answer:

Hence, the area of the rectangle is 15p² + 4pq - 35q² sq. units.

Related Questions to study

Find the error in the given statement.
All monomials with the same degree are like terms.

Find the error in the given statement.
All monomials with the same degree are like terms.

Write equation of the line containing (-3, 4) and (-1, -2)

Write equation of the line containing (-3, 4) and (-1, -2)

Simplify and write the polynomial in its standard form.
$open parentheses 3 x squared minus 5 x minus 8 close parentheses minus open parentheses negative 4 x squared minus 2 x minus 1 close parentheses$

Simplify and write the polynomial in its standard form.
$open parentheses 3 x squared minus 5 x minus 8 close parentheses minus open parentheses negative 4 x squared minus 2 x minus 1 close parentheses$

parallel

What must be added to x³+3x-8 to get 3x³+x²+6?

What must be added to x³+3x-8 to get 3x³+x²+6?

Simplify and write the polynomial in its standard form.
$open parentheses x squared plus 2 x minus 4 close parentheses plus open parentheses 2 x squared minus 5 x minus 3 close parentheses$

Simplify and write the polynomial in its standard form.
$open parentheses x squared plus 2 x minus 4 close parentheses plus open parentheses 2 x squared minus 5 x minus 3 close parentheses$

Write the polynomial in its standard form.
$2 y minus 3 minus y squared$

Write the polynomial in its standard form.
$2 y minus 3 minus y squared$

parallel

Name the polynomial based on its degree and number of terms.
$x over 4 plus 2$

Name the polynomial based on its degree and number of terms.
$x over 4 plus 2$

Show m = 2 for the straight line 8x - 4y = 12.

Show m = 2 for the straight line 8x - 4y = 12.

Simplify. Write each answer in its standard form.
$left parenthesis negative 5 x minus 6 right parenthesis minus open parentheses 4 x squared plus 6 close parentheses$

Simplify. Write each answer in its standard form.
$left parenthesis negative 5 x minus 6 right parenthesis minus open parentheses 4 x squared plus 6 close parentheses$

parallel

Simplify. Write each answer in its standard form.
$open parentheses 3 x squared plus 4 x plus 2 close parentheses minus left parenthesis negative x plus 4 right parenthesis$

Simplify. Write each answer in its standard form.
$open parentheses 3 x squared plus 4 x plus 2 close parentheses minus left parenthesis negative x plus 4 right parenthesis$

Simplify -6 + 4a²+ 2b² - 7xz - 3xz + 4a²- 5b²- 2.

Simplify -6 + 4a²+ 2b² - 7xz - 3xz + 4a²- 5b²- 2.

$open parentheses 4 x squared plus 2 x minus 3 close parentheses plus open parentheses 3 x squared plus 6 close parentheses$

$open parentheses 4 x squared plus 2 x minus 3 close parentheses plus open parentheses 3 x squared plus 6 close parentheses$

parallel

The coordinate A=(0,2) lies on a straight line. The gradient of the line is 5 . Using this information, state the equation of the straight line.

The coordinate A=(0,2) lies on a straight line. The gradient of the line is 5 . Using this information, state the equation of the straight line.

Combine like terms and write the given polynomial in the standard form.
$open parentheses negative 2 x squared plus 5 x minus 7 close parentheses plus left parenthesis 3 x plus 7 right parenthesis$

Combine like terms and write the given polynomial in the standard form.
$open parentheses negative 2 x squared plus 5 x minus 7 close parentheses plus left parenthesis 3 x plus 7 right parenthesis$

Simplify. Write each answer in its standard form.
$open parentheses 3 x squared plus 2 x close parentheses plus left parenthesis negative x plus 9 right parenthesis$

Simplify. Write each answer in its standard form.
$open parentheses 3 x squared plus 2 x close parentheses plus left parenthesis negative x plus 9 right parenthesis$

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.