Answer:
Step-by-step explanation:
I have attached a written explanation to help :).
Let's say each side of the square =[tex]x[/tex]
If we put 7 squares in a row to make the rectangle,
length of the rectangle = [tex]7x[/tex]
Area of a rectangle = length multiplied by width
Area of rectangle = [tex]7x[/tex] multiplied by [tex]x[/tex] = [tex]7x^2[/tex]
We are also told that the total area = 567
So [tex]7x^2 = 567[/tex]
Now solve for [tex]x[/tex].
Divide both sides by 7.
[tex]\frac{7x^2}{7} = \frac{567}{7}[/tex]
[tex]x^2 = 81[/tex]
Then square root both sides to find [tex]x[/tex]
[tex]x = \sqrt{81}[/tex] = 9
Finally, the question asks to find the length of the collage which we said was [tex]7x[/tex] and we know [tex]x = 9[/tex]
Length of collage = [tex]7x = 7[/tex] multiplied by [tex]9[/tex] = ?
