Question

Two buildings have the same total height. One building

has 6 floors each with height, h. The other building

Mhas

a ground floor of 36 ft. and 3 other floors each with

height h. Write and solve an equation to find the height

hof each floors.

Answer 1

6h = 36ft + 3h

The height h of each floor is 12ft

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