The area of a square is the length of a side times itself:
2_4/9 * 2_4/9
Mixed numbers cannot be multiplied, so first convert to improper fractions:
(9*2)+4 = 18+4 = 22/9
22/9 * 22/9
Multiply straight across:
(22*22)/(9*9) = 484/81
Now turn this into a mixed number:
81 goes into 484 five times with 79 left over:
5_79/81 square inches
Since this is not one of the answer choices, I'm wondering if the given length of the side of the square is incorrect?
We can solve this by writing down all of the variables we know. We will call the distance traveled on Saturday, x. The distance traveled on Sunday will be y.
x = distance traveled saturday
y = distance traveled sunday
We are told that on sunday he rode 3 miles more than 2/3 the distance on saturday. We can write a new formula.
y = (2/3)x + 3
We also not the total distance travelled, x + y = 43, now we solve for x.
x + y = 43
x + (2/3)x + 3 = 43
5/3x = 40
x = 24 miles
y = (2/3)(24)+3
y = 19 miles
Therefore, Mario biked 24 miles on Saturday and 19 miles on Sunday which gives us the total of 43 miles for the whole weekend.
2x + 6 = -2x - 2 equation
X = -2 solution
