Question

Please help for a medal and fan.



1. A square has an area of x² - 8x + 16. A rectangle has a length that is two times the side of the square. The width of the rectangle is 3 centimeters less than the side of the square. What are the dimensions of the rectangle?

Length = ____ centimeters
Width = ____ centimeters

2. Christian is framing an Algebra certificate with a frame that has a 1-inch border. If the area of the frame is 396 square inches, and the length of the certificate is 4 inches greater than its width, what are the dimensions of the certificate, excluding the frame?

Answer 1

@Hero ?

Answer 2

This isn't something I'm really good with, sorry.

Answer 3

do u go to connections 8 grade @AMYCARTER

Answer 4

do you know how to factor x² - 8x + 16

Answer 5

yes @nikato it's \[(x-4)^{2}\]

Answer 6

yes. and what is x?

Answer 7

I'm not sure...

Answer 8

you want to set whats in the parentheses equal to 0
so
x-4=0
so x=?

Answer 9

do u kgo to conneciton 8grade

Answer 10

x would equal 4 then

Answer 11

correct. so that would be the length of a side of a square.
remember all 4 sides of a square are equal
so they all =4

Answer 12

let s= side of sqaure= 4
rectangle has a length that is two times the side of the square.
so
length= 2s
=2(4)
=?

Answer 13

2 times 4 is 8

Answer 14

yes
and
width of the rectangle is 3 centimeters less than the side of the square
width= s-3
=4-3
=?

Answer 15

1 @nikato

Answer 16

okay so for the first one 8,1. How about the second one @nikato?

Answer 17

one moment please as i think about the problem

Answer 18

okay thank you so much for coming to help me @nikato