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
Translating the words into formula, we have
In fact, we have that the pay rate is the total payment divided by the number of hours worked.
We can solve this formula for w in two steps: starting from the formula above, multiply both sides by w:
And then divide both sides by r:
Let X = the number of pennies.
The number of nickels would be 2X
A penny is 0.01 and a nickel is 0.05
Now you have:
0.01x + 2(0.05x) = 8.80
Simplify:
0.01x + 0.10x = 8.80
Combine like terms:
0.11x = 8.80
Divide both sides by 0.11:
x = 8.80 / 0.11
x = 80
Pennies = X = 80 total pennies.
Nickels = 2x = 2 *80 = 160 nickels.
4 times 8 tenths
1/10=1 tenth
8/10=8 tenths
4 times 8/10
4/1 times 8/10
(4 times 8)/(1 times 10)
32/10
16/5
5/5+5/5+5/5+1/5
1+1+1+1/5
3+1/5
3 and 1/5
