Asked by Nirmal Singh
A square lawn is surrounded by a path 2.5m wide, if the area of the path is 165m square, find the area of the lawn
Answers
Answered by
Hayyley
let x be the length of each of the lawn's side, and y be the length of each of the whole land's side (including the path surrounding the lawn)
y^2 - x^2 = 165
y = x + 5
substitute y:
(x+5)^2 - x^2 = 165
hence: x^2 + 10x + 25 - x^2 = 165
10x = 140
x = 14
area of lawn: 14^2
y^2 - x^2 = 165
y = x + 5
substitute y:
(x+5)^2 - x^2 = 165
hence: x^2 + 10x + 25 - x^2 = 165
10x = 140
x = 14
area of lawn: 14^2
Answered by
naaz
196
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.