Respuesta :
width = w
height = h
so w = (2/3) * h
(The perimeter surrounding it)
2w + 2h = 310
2((2/3) * h) + 2h = 310
4h/3 + 2h = 310
10h/3 = 310
10h = 930
h = 93 feet
w = (2/3) * 93
w = 62 feet
height = h
so w = (2/3) * h
(The perimeter surrounding it)
2w + 2h = 310
2((2/3) * h) + 2h = 310
4h/3 + 2h = 310
10h/3 = 310
10h = 930
h = 93 feet
w = (2/3) * 93
w = 62 feet
Answer:
The dimension of length is 93 feet and dimension of width is 62 feet.
Step-by-step explanation:
Consider the provided information.
Let W represents the width of the rectangle flower garden and L represents the length.
It is given that An architect designs a rectangle flower garden such that the width is exactly two thirds of the length.
This can be written as:
W=2/3L
It is given that the length of fence is 310 feet, that means the perimeter of the rectangle is 310.
Perimeter = 2(L+W)
Substitute the respective values in the above formula.
[tex]310 = 2(L+\frac{2}{3}L)[/tex]
[tex]155 = L+\frac{2}{3}L[/tex]
[tex]155 = \frac{3L+2L}{3}[/tex]
[tex]155 = \frac{5L}{3}[/tex]
[tex]465 = 5L[/tex]
[tex]L= 93[/tex]
Substitute the value of L in W=2/3L.
[tex]W=\frac{2}{3}\times 93[/tex]
[tex]W=2\times 31[/tex]
[tex]W=62[/tex]
Hence, the dimension of length is 93 feet and dimension of width is 62 feet.
