1. To find the perimeter of the rectangular sheet of paper, we need to add together all four sides.
First, let's convert the mixed numbers to improper fractions:
3 5/8 = (3 * 8 + 5)/8 = 29/8
2 7/8 = (2 * 8 + 7)/8 = 23/8
Now, add the lengths of the sides:
Perimeter = 2(29/8) + 2(23/8) = 58/8 + 46/8 = 104/8 = 13
Therefore, the ant travels 13 inches.
2. If each dimension of the sheet of paper is increased by one inch, we need to add 1 to each length.
New length of one side: 29/8 + 1 = 29/8 + 8/8 = 37/8
New length of the other side: 23/8 + 1 = 23/8 + 8/8 = 31/8
Now, find the new perimeter by adding the lengths of the sides:
Perimeter = 2(37/8) + 2(31/8) = 74/8 + 62/8 = 136/8 = 17
Therefore, the ant will travel 17 inches in this case.
3. Let's first convert the mixed numbers to improper fractions:
5 1/10 = (5 * 10 + 1)/10 = 51/10
7 1/5 = (7 * 5 + 1)/5 = 36/5
To find the length of the third side of the triangle, we need to subtract the sum of the two known sides from the total distance traveled by the ant:
Length of third side = Total distance - (51/10 + 36/5) = 20 - (51/10 + 36/5)
To add these fractions, we need a common denominator:
51/10 + 36/5 = (51 * 2)/(10 * 2) + 36/5 = 102/20 + 36/5 = (102 + 72)/20 = 174/20
Now, subtract this sum from the total distance:
Length of third side = 20 - 174/20 = (20 * 20)/20 - 174/20 = 400/20 - 174/20 = 226/20
Simplify the fraction if possible:
Length of third side = 113/10
Therefore, the length of the third side of the triangle is 113/10 centimeters.
ADD & SUBTRACT RATIONAL NUMBERS APPLY SHOW WORK HOW YOU WORKED THE QUESTION BY STEPS !
1. AN ANT STANDS AT ONE VERTEX OF A RECTANGULAR SHEET OF PAPER. THE ANT THEN PROCEEDS TO WALK ALL THE WAY AROUND THE PERIMETER OF THE PAPER. THE DIMENSIONS OF THE SHEET OF PAPER ARE 3 5/8 INCHES BY 2 7/8 INCHES/ HOW MANY INCHES DOES THE ANT TRAVEL? SHOW YOUR WORK HOW YOU GOT THE ANSWER WITH ALL STEPS.
2. SUPPOSE THAT EACH DIMENSION OF THE SHEET OF PAPER DESCRIBED IN QUESTION 1 IS INCREASED BY ONE INCH. HOW MANY INCHES WILL THE ANT TRAVEL IN THIS CASE? EXPLAIN SHOW YOUR WORK HOW YOU GOT YOUR ANSWER!
3.A SECOND ANT WALKS AROUND A TRIANGLE DRAWN IN THE DIRT. TWO OF THE DIMENSIONS OF THE TRIANGLE ARE 5 1/10 CENTIMETERS AND 7 1/5 CENTIMETERS. THE TOTAL DISTANCE TRAVELED BY THE ANT IS 20 CENTIMETERS. WHAT IS THE LENGTH OF THE THIRD SIDE OF THE TRIANGLE? SHOW ALL WORK AND STEPS TO YOUR ANSWER!
1 answer