Math, asked by dhyanderax, 15 days ago

A lawn is 14m x 10m. Round the lawn there is a gravel walk. The area of the lawn is 7/9 that of the gravel walk. Find the width of the walk

Answers

Answered by kanishkagupta1234
77

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Answered by pranaykommuri
0

Answer:

6m

Step-by-step explanation:

area of lawn = 14*10 m

According to the question,

area of lawn = 7/9 * area of gravel walk

14*10*9/7 = area of gravel walk

area of gravel walk = 180

(14 + x)*(10 + x) - (14*10) = 180

x² + 24x + 140 - 140 = 180

x² + 24x - 180 = 0

x² + 30x -6x - 180 = 0

x (x + 30) - 6 (x + 30) = 0

(x + 30)(x - 6) = 0

x = -30 or 6

Since the width cannot be negative,

Thus the width of the gravel walk is 6 m.

Hope this helps . . . also comment if further doubt.

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