Sam divided a rectangle into 8 congruent rectangles that each have a area of 5 cm2. what is the area of the rectangle before it is divided?
Answer:
Step-by-step explanation:
Given:
Sam divided a rectangle into 8 congruent rectangles that each have an area of 
We need to find the area of the rectangle before Sam divided it.
The area of the rectangle before Sam divided is 8 times of the area of the congruent rectangles.
Area of the rectangle =
Area of the congruent rectangle is 
So the area of the rectangle is
Area of the rectangle =
Area of the rectangle =
Therefore the area of the rectangle before divided is
Hi there!
Amit's reasoning is incorrect because multiplying a positive number by a negative number results in a negative result. The question also says that it is a charge to his account, which means that money is being taken away. Therefore, Amit's reasoning is incorrect because the bank is taking away money from him and his equation results in a positive value, instead of negative.
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
Answer:
Step-by-step explanation:
so for the triangles in 7) they angles are the same in each, that's what the lines are saying, that they are the same angles, and because the angle are the same, the triangles are just a scale of each other we can say that the X side is just a ratio of the other triangle , or
= 
now just solve for X
*
=
*
x = 120/6
x=20
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for the triangles in 8) same thing
= 
*
=
*
X = 
X = 2