One side of the triangular flower garden has length of 4.5 m, the second side is twice as long as the first side. The length of the third side is 3 m less than that of the second side. What is the perimeter of the garden
With solution
Given:
1st side = 4.50 m
2nd side = twice as long as the 1st side
3rd side = less than the 2nd side
Solution:
2nd side = 4.5 x 2 = 9.00 m
3rd side = 9.00 - 3.00 = 6.00m
Total Perimeter = 4.50 + 9.00 + 6.00
= 19.50 meters
4.5 + (3 * 4.5) + [(3 * 4.5) - 3] = ?
To find the perimeter of the garden, we need to add up the lengths of all three sides.
Let's denote the first side as x.
According to the given information, the second side is twice as long as the first side: 2x.
The length of the third side is 3 m less than that of the second side: 2x - 3.
Now we can sum up all three sides to find the perimeter:
Perimeter = x + 2x + (2x - 3)
Simplifying the expression:
Perimeter = 5x - 3
Now we need to substitute the value of x. From the given information, we know that the first side of the triangular flower garden is 4.5 m:
5x - 3 = 4.5
Adding 3 to both sides:
5x = 7.5
Dividing both sides by 5:
x = 1.5
Now we can substitute the value of x back into the expression for perimeter:
Perimeter = 5(1.5) - 3
Simplifying:
Perimeter = 7.5 - 3
Perimeter = 4.5
Therefore, the perimeter of the garden is 4.5 meters.
To find the perimeter of the triangular flower garden, we need to know the lengths of all three sides. Let's break down the problem step by step to determine the length of each side.
1. The length of the first side is given as 4.5 m.
2. The second side is twice as long as the first side. Therefore, the length of the second side is 2 * 4.5 = 9 m.
3. The length of the third side is 3 m less than the second side. So, the length of the third side is 9 - 3 = 6 m.
Now that we have the lengths of all three sides, we can calculate the perimeter by adding up the lengths.
Perimeter = First side + Second side + Third side
Perimeter = 4.5 + 9 + 6
Perimeter = 19.5 meters
Therefore, the perimeter of the triangular flower garden is 19.5 meters.