Answer:
Dimension => 10 m × 9.6 m
Step-by-step explanation:
From the question given above, the following data were obtained:
Area (A) = 96 m²
Circumference (C) = 39.2 m
Dimension =.?
Next, we shall determine the Lenght and breadth of the rectangle. This can be obtained as follow:
Let L be the Lenght
Let B be the breadth
Area of a rectangle = L × B
96 = L × B ..... (1)
Circumference of rectangle = 2(L + B)
39.2 = 2(L + B) .... (2)
From equation 2, make L the subject
39.2 = 2(L + B)
Divide both side by 2
39.2 /2 = L + B
19.6 = L + B
Rearrange
L = 19.6 – B ....(3)
Substitute the value of L in equation 3 into equation 1
96 = L × B
L = 19.6 – B
96 = (19.6 – B ) × B
Clear bracket
96 = 19.6B – B²
Rearrange
B² – 19.6B + 96 = 0
Solving by factorisation
B² – 10B – 9.6B + 96 = 0
B(B – 10) – 9.6(B – 10) = 0
(B – 9.6)(B – 10) = 0
B – 9.6 = 0 or B – 10 = 0
B = 9.6 or B = 10
Substitute the value of B into equation 3:
L = 19.6 – B
B = 9.6
L = 19.6 – 9.6
L = 10
Or
L = 19.6 – B
B = 10
L = 19.6 – 10
L = 9.6
Since the length is always longer than the breadth,
Length (L) = 10 m
Breadth (B) = 9.6 m
Finally, we shall determine the dimension of the rectangle. This can be obtained as follow:
Length (L) = 10 m
Breadth (B) = 9.6 m
Dimension =?
Dimension = L × B
Dimension = 10 m × 9.6 m
According to the information provided by the graph, it can be inferred that in town A there is a lower percentage (20%) than the national percentage of bicycles with off-road wheels, while in town B the percentage is higher (45%).
<h3>How to calculate the percentage of bicycles with off road wheels in each town?</h3>
To calculate the percentage of bicycles with off-road wheels in each town, we must perform the following mathematical operation.
First we must add the number of bicycles of each type to know the total number of bicycles in the town:
- Town A: 3 + 12 = 15 bikes
- Town B: 9 + 11 = 20 bikes
Now we must calculate what percentage is equivalent to 3 bicycles with off-road wheels from town A and what percentage is equivalent to 9 bicycles with off-road wheels from town B.
15 ÷ 100 = 0.15
0.15 × 20 = 3
So, 3 bicycles with off-road wheels from town A are equivalent to 20% of the total number of bicycles.
- 20 ÷ 100 = 0.2
- 0.2 × 45% = 9
Then the 9 bicycles with off-road wheels in town B are equivalent to 45% of the total number of bicycles.
According to the above, 20% of the bicycles in town A have off-road wheels, while 45% of the bicycles in town B have off-road wheels.
Note: This question is incomplete because there are some missing information. Here is the missing information.
Learn more about percentage in: brainly.com/question/8011401
Answer:
B
Step-by-step explanation:
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