Question

The area of a rectangle is p² - 13p -30. Find its length and breadth. ​

Answer 1

Factorise the following

$p {}^{2} - 13p - 30$

$p {}^{2} -15p + 2p - 30$

P(P-15)+2(P-15)

(P-15)(P+2) are the length and breadth of Rectangle

You can fol.low me on inst.a bhavesh_gyanwani

Answer 2

$\bf (p + 2) \: and \: (p - 15)$ are length and breadth of rectangle respectively.

Step-by-step explanation:

Given:

• The area of rectangle is ${p}^{2} - 13p - 30$.

To find:

• Find length and breadth of rectangle.

Solution:

Concept to be used:

• Factorize the quadratic polynomial.
• Two factors are length and breadth of rectangle.

Step 1:

Factorize the quadratic polynomial.

${p}^{2} - 13p - 30$

or

split the middle term.

${p}^{2} - 15p + 2p - 30$

or

$= p(p - 15) + 2(p - 15)$

or

$\bf {p}^{2} - 13p - 30 = (p + 2)(p - 15)$

Step 2:

Find length and breadth.

As factors of polynomial are $(p + 2)(p - 15)$

Normally, we are taking longer side as length and shorter as breadth.

So,

Length of rectangle is $(p + 2)$ unit.

Breadth of rectangle is $(p - 15)$ unit.

Thus,

$\bf (p + 2) \: and \: (p - 15)$ are length and breadth of rectangle respectively.

Learn more:

1) THE AREA OF THE GRADE 8 CURRICULUM GARDEN IS (X² + 10X -75) SQUARE METERS . WHAT ARE THE DIMENSIONS OF THE GARDEN

https://brainly.in/question/25126015

2) The volume of a cube is given by the expression below . What is the expression for the side length of the cube?

the expr...

https://brainly.in/question/22514338

#SPJ3