Answer:
[tex]H=0.70\ m[/tex]
Step-by-step 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
[tex]A=LH[/tex]
where
[tex]L=9.5\ m\\H=2.8\ m[/tex]
substitute
[tex]A=(9.5)(2.8)=26.6\ m^2[/tex]
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
[tex]\frac{400}{26.6}\frac{bricks}{m^2}=\frac{100}{x}\frac{bricks}{m^2}\\\\x=26.6(100)/400\\\\x=6.65\ m^2[/tex]
step 3
Find the height of the wall
[tex]A=LH[/tex]
where
[tex]L=9.5\ m\\A=6.65\ m^2[/tex]
substitute and solve for H
[tex]6.65=9.5H[/tex]
[tex]H=0.70\ m[/tex]
