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

The length and breadth of a rectangle are (2x – 8) cm and (5x – 7) cm. Find the area of the rectangle.

hint Hint:

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

The correct answer is: Hence, the area of the rectangle is 10x2 - 54x + 56 sq.cm.

Answer:

Step-by-step explanation:

○ Given:
Two sides of a rectangle
(2x – 8) cm and (5x – 7) cm.
○ Step 1:
We know, that the area of a rectangle is the product of its sides
i.e area = side side
So,
Area = (2x – 8) (5x – 7)
= 2x (5x -7) - 8(5x-7)
= 10x² - 14x - 40x + 56
= 10x² - 54x + 56 sq.cm

Final Answer:

Hence, the area of the rectangle is 10x² - 54x + 56 sq.cm.

Related Questions to study

How can you tell from the angle measures of a triangle which side of the triangle is the longest? The shortest?

How can you tell from the angle measures of a triangle which side of the triangle is the longest? The shortest?

(𝑎 + 𝑏)² =

(𝑎 + 𝑏)² =

Use the table method to multiply a binomial with a trinomial.
(2𝑥 − 5) (−3𝑥² + 4𝑥 − 7)

Use the table method to multiply a binomial with a trinomial.
(2𝑥 − 5) (−3𝑥² + 4𝑥 − 7)

parallel

Simplify:
(ii) (3a + 2b) (5a + 7b)

Simplify:
(ii) (3a + 2b) (5a + 7b)

A square icon image has a border that has an area of 704 square pixels and is 4 pixels wide. What is the area of the square image?

A square icon image has a border that has an area of 704 square pixels and is 4 pixels wide. What is the area of the square image?

Determine the GCF and write the expression in factored form.

$open parentheses 6 x squared minus 4 x close parentheses plus open parentheses 4 x squared minus 8 x close parentheses$

Determine the GCF and write the expression in factored form.

$open parentheses 6 x squared minus 4 x close parentheses plus open parentheses 4 x squared minus 8 x close parentheses$

parallel

Use distributive property to find the product of two polynomials.
(5𝑥 − 4) (2𝑥 + 1)

Use distributive property to find the product of two polynomials.
(5𝑥 − 4) (2𝑥 + 1)

Simplify:
(i) (2m³ + 2m) (4m - 2)

Simplify:
(i) (2m³ + 2m) (4m - 2)

The area of a rectangle is $12 x cubed minus 18 x squared plus 6 x$ . The width is equal to the GCF. What could the dimensions of the rectangle be?

The area of a rectangle is $12 x cubed minus 18 x squared plus 6 x$ . The width is equal to the GCF. What could the dimensions of the rectangle be?

parallel

Find the area of the green rectangle.

Find the area of the green rectangle.

Find the area of the green rectangle.

Find the area of the green rectangle.

Complete the factor pair for $18 x to the power of 4 plus 12 x cubed minus 24 x squared$
$3 x squared minus 2 x minus 4 text and ? end text$

Complete the factor pair for $18 x to the power of 4 plus 12 x cubed minus 24 x squared$
$3 x squared minus 2 x minus 4 text and ? end text$

parallel

Multiply: x² - 8x + 8 by 6x² -3x + 4

Multiply: x² - 8x + 8 by 6x² -3x + 4

Complete the factor pair for $18 x to the power of 4 plus 12 x cubed minus 24 x squared$
$18 x squared plus 12 x minus 24 text and ? end text$

Complete the factor pair for $18 x to the power of 4 plus 12 x cubed minus 24 x squared$
$18 x squared plus 12 x minus 24 text and ? end text$

Use the difference of squares to find the product 56 × 44.

This question can be easily solved by using the formula
(a + b)(a - b) = a2 - b2

Use the difference of squares to find the product 56 × 44.

This question can be easily solved by using the formula
(a + b)(a - b) = a2 - b2

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.