Question

Se necesita 400 ladrillos para construir un muro de 9,5,metros de largo por 2,8 m de alto ¿que altura tendra un muro del mismo largo si se tiene 100 ladrillos?

Answer 1

`H=0.70\ m`

Explanation:

The question in English is

400 bricks are needed to build a wall 9.5 meters long by 2.8 m high. How high will a wall of the same length if you have 100 bricks?

step 1

Find out the area of the wall with 400 bricks

`A=LH`

where

`L=9.5\ m\\H=2.8\ m`

substitute

`A=(9.5)(2.8)=26.6\ m^2`

step 2

Using proportion

Find out the area of the wall with 100 bricks if the area with 400 bricks is equal to 26.6 square meters

Let

x ----> the area of the wall with 100 bricks

`(400)/(26.6)(bricks)/(m^2)=(100)/(x)(bricks)/(m^2)\\\\x=26.6(100)/400\\\\x=6.65\ m^2`

step 3

Find the height of the wall

`A=LH`

where

`L=9.5\ m\\A=6.65\ m^2`

substitute and solve for H

`6.65=9.5H`

`H=0.70\ m`