43.5k views
4 votes
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.

1 Answer

4 votes

Answer:

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

User Uhfocuz
by
8.3k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories