Respuesta :
Answer:
Dimensions, Length = 85 feet and Width = 40 feet
Area of lawn = 3400 [tex]feet^2[/tex]
Step-by-step explanation:
Given: Lawn is rectangular in shape
Length of lawn is 5 feet more than twice its breath/width
Perimeter of Lawn = 250 feet
To find: (a) Length and width of lawn
(b) Area of Lawn
First let the a variable for width/breadth. Say, Width = b.
So, the length of lawn = 2b + 5
Perimeter of Rectangle = 2 × ( length + width )
Now, substitue given values in this formula
∴ Perimeter of Lawn = 2 × ( 2b + 5 + b )
[tex]250 = 2\times{(2b+b+5)}\\250= 2\times{(3b+5)}\\3b+5 = \frac{250}{2}\\3b = 125 -5\\3b = 120\\b=\frac{120}{3}\\b=40[/tex]
∴width = 40 feet
⇒ length = 85 feet
Now we find are of lawn using formula of area of rectangle
Area of lawn = length × width
= 85 × 40
= 3400 [tex]feet^2[/tex]
Dimensions, Length = 85 feet and Width = 40 feet
Area of lawn = 3400 [tex]feet^2[/tex]
