The square lawn has a path 4m wide around it . the area of the path is 196sq m . find the side of the lawn

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Solution

Let the side of the lawn=x
Then the side of the lawn after the path = x+4
Given
(x+4)^2-x^2=196
x^2+8x+16-x^2=196
8x+16=196
8x=180
x=180/8=22.5 cm

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The square lawn has a path 4m wide around it . the area of the path is 196sq m . find the side of the lawn

Let the side of the lawn=xThen the side of the lawn after the path = x+4Given(x+4)^2-x^2=196x^2+8x+16-x^2=1968x+16=1968x=180x=180/8=22.5 cm

Let the side of the lawn=x
Then the side of the lawn after the path = x+4
Given
(x+4)^2-x^2=196
x^2+8x+16-x^2=196
8x+16=196
8x=180
x=180/8=22.5 cm