Math, asked by anonymous12345, 1 year ago

a rectangular field is 70 m long and 50 m wide, has an uniform width path around it. If the path is 1024 m2 find the width of the path.

Answers

Answered by shetriyas
85
Area of field = 70 X 50 = 3500 m²
Area of path = 1024 m²
ADD = 4524m²
Let the width be x meters 
( 70+2x) ( 50+2x) = 4524 
3500 + 100x +140x + 4x² = 4524 
4x² + 240x - 1024 = 0 
Dvide by 4 
x² + 60x - 256= 0 
x² +60x = 256 
add 900 
x² +60x +900 = 1156 
( x+ 30)² = 1156 
x = \/1156 - 30 = 34-30 = 4 meters is the answer

anonymous12345: Why 2x?
shetriyas: where
anonymous12345: (70+2x)(50+2x)
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