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azamat
2 years ago
13

Two buildings have the same total height. One building

Mathematics
1 answer:
dimulka [17.4K]2 years ago
4 0

Answer:

6h = 36ft + 3h

The height h of each floor is 12ft

Step-by-step explanation:

From the question,

The two buildings have the same total height.

Let the total height of each building be H, that is

H (for one building) = H (for the other building)

Also,

For one building, there are 6 floors each with height h, that is

H = 6h

For the other building, there is a ground floor of 36 ft and 3 other floors each with  height h, that is

H = 36ft + 3h

To find the height h of each floors,

Since the two buildings have the same total height, we can write that

H (for one building) = H (for the other building),

Then,

6h = 36ft + 3h

This is an equation that could be used to find height h.

To solve for h,

6h = 36ft + 3h

Then,

6h - 3h = 36ft

3h = 36ft

h = 36ft / 3

h = 12ft

Hence, the height h of each floor is 12ft

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