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Rishit Sharma from Nehru World School, Ghaziabad
Subject :IMO    Class : Class 6

A square lawn has a path 1 m wide that goes around it. If the area of the path is 40 m2 , then the area of the lawn, in m2 , is


A100
B64
C144
D81


I didn't get the question

Ans 1:

Admin from SOF, Noida
Class : Class 10
Answer : D

Solution
Let the length of one side of the path (outer square) be x.
Area of lawn + path = x2
Length of one side of the lawn = (x -2)
Area of path = x2 - (x-2)2 = 40
Solving the above equation x = 11
Side of lawn = 11 - 2 = 9
Area of lawn = 81 m2

Ans 2:

Venneti Bhargav from gyan bharati, New Delhi
Class : Class 7
wrong answer because the question says to include area of pathway as well as are of lawn

Ans 3:

VANSH Aggrawal from Surajkund International School, Faridabad
Class : Class 8
solution let the side of the lawn(without the path) is xso the side of the lawn (with the path ) =x 2area =(x 2)^2 =x^2 4 4x40 =x^2 4 4x-x^2=40 =4 4x=40-4=4x=36=4x=x=36/4=x=9area of lawn=9*9=81area of lawn(including the path)=(9 2)*(9 2)=11*11=121

Ans 4:

Ashwin Shridhar from Vidyashilp Academy, Bangalore
Class : Class 9
area of the lawn is 81 sq mtr but your question says including the path which will be 121 sq mtr. this option is not there. You need to remove including path from the question.

Ans 5:

arvind kumar Singh from SUDHIR MEMORIAL INSTITUTE LILUAH HOWRAH, HOWRAH
Class : Class 7
c

Ans 6:

Allu Gowri sasaank from timpany school, Visakhapatnam
Class : Class 7

Ans 7:

Mehreen Brar from Delhi Public School, Chandigarh
Class : Class 7
but we had to find total area not area of lawn.....81 is only area of lawn.....the answer given is wrong

Ans 8:

Chaitanya L K from SKCHEC, bangalore
Class : Class 8
Correct answer is 40 (area of path) 81(area of lawn)=121 sq mtrs. This option is not given

Ans 9:

Pravir Mishra from National Public School, Bengaluru
Class : Class 8
area of the shaded region Pravir

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