building A is 180 feet shorter than building B. The total height of the two building is1480 feet. find the length of each building
Let x = height of building B
Let x - 180 = height of building A
since their total height is 1480,
x + x - 180 = 1480
Solving,
2x = 1480 + 180
2x = 1660
x = 830 ft (height of bldg B)
x-180 = 650 ft (height of bldg A)
hope this helps~ `u`
To find the length of each building, we can set up a system of equations based on the given information. Let's assume that the height of building B is x feet.
Since building A is 180 feet shorter than building B, the height of building A can be represented as (x - 180) feet.
The total height of the two buildings is 1480 feet, which means the sum of the heights of building A and B is equal to 1480 feet. We can write this as an equation:
(x - 180) + x = 1480
Now, let's solve the equation to find the value of x, which represents the height of building B:
2x - 180 = 1480
Add 180 to both sides:
2x = 1660
Divide both sides by 2:
x = 830
So, the height of building B is 830 feet.
To find the height of building A, we can substitute the value of x into the equation (x - 180):
A = (830 - 180) = 650
Therefore, building A is 650 feet tall and building B is 830 feet tall.
Let's assume the height of building B is "x" feet.
According to the problem, building A is 180 feet shorter than building B. Therefore, the height of building A will be "x - 180" feet.
The problem also states that the total height of both buildings is 1480 feet. So, we can write an equation using these two heights:
(x) + (x - 180) = 1480
Simplifying the equation, we get:
2x - 180 = 1480
Adding 180 to both sides of the equation:
2x = 1660
Dividing both sides of the equation by 2:
x = 830
Therefore, the height of building B, which we assumed as "x," is 830 feet.
The height of building A = x - 180 = 830 - 180 = 650 feet.
So, the length of building A is 650 feet, and the length of building B is 830 feet.