Leo wants to paint a mural that covers a wall with an area of 300 square feet. The height of the wall is 13 of its length. What is the length and the height of the wall?

Respuesta :

Answer:

l=30ft

h=10ft

Step-by-step explanation:

Area 'A' is defined as the product of length and height

[tex]A=lh=300ft^2\\h= \frac{1}{3} l[/tex]

[tex]\\300=l( \frac{1}{3}l)\\300=\frac{1}{3} l^{2}\\900=l^{2}\\30=l\\l=30ft\\\\h= \frac{1}{3}(30)\\h=10ft[/tex]

Thus,  the length and the height of the wall is 30 ft and 10 ft respectively.