211k views
4 votes
Write a polynomial that represents the area of a rectangle with side lengths of 7x-2 and 3x-5

User Omar Tarek
by
6.9k points

2 Answers

4 votes

Answer: 21x^2 - 41x + 10

Step-by-step explanation: If the lengths are even then the number would be angle.

User Javdromero
by
6.2k points
3 votes

Answer:

21x^2 - 41x + 10

Explanation:

The area of a rectange is length x width.

L = 7x-2

W = 3x-5

So, you would do (7x-2)x(3x-5).

To do this, you can do FOIL.

F (first times first) - (7x)(3x)=21x^2

O (outside times outside) - (7x)(-5)= -35x

I (inside times inside) - (-2)(3x)= -6x

L (last times last) - (-2)(-5) = 10

So, it is 21x^2 - 35x - 6x +10

Then you combine like terms giving you:

21x^2 - 41x + 10

User Mcnesium
by
7.4k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.