Area Problems
- Thread starter Reccless
- Start date
that's nice; where are you stuck?Reccless said:1) A small city park consists of a rectangular lawn surrounded on all sides by a 330 m2 border of flowers 2.5 m wide. Find the area of the lawn if the enitre park is 5 m longer than it is wide.
The length of the lawn is x.
The length of the lawn with the flowers is x + 2.5*2 = x+5.
The width of the lawn with the flowers is 5 more or
(x+5)+5 = x+10.
The width of the lawn is x+5
The area of the flowers is
2*2.5*x+2*2.5(x+5) + 4*2.5^2 = 330
Solve for x.
Or
The area of the flowers is the area of the park minus the area of the lawn.
(x+5)(x+10)-x(x+5) = 330
Solve for x.
Your choice.
The length of the lawn with the flowers is x + 2.5*2 = x+5.
The width of the lawn with the flowers is 5 more or
(x+5)+5 = x+10.
The width of the lawn is x+5
The area of the flowers is
2*2.5*x+2*2.5(x+5) + 4*2.5^2 = 330
Solve for x.
Or
The area of the flowers is the area of the park minus the area of the lawn.
(x+5)(x+10)-x(x+5) = 330
Solve for x.
Your choice.