The length of a rectangular garden is 5 more than its width, and is surrounded by a uniform path 2-m wide. If the total area of the garden plus path is 300 sq.meters, find the width of the garden.
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The length of a rectangular garden is 5 more than its width, and is surrounded by a uniform path 2-m
Verified answer
Solution:(Let x be the width)
L=x+5+2 (Length is 5 more than its width plus 2 for the path)
W=x+2 (Letting x be the width, we add 2 for the path)
A=LW
300=(x+7)(x+2)
300=x^2+9x+14
0=x^2+9x-286
0=(x+22)(x-13)
x={-22, 13}
Since we're talking about measurements, we take only the positive value of x. Substitute then to find the dimensions.
L=x+5+2
L=13+5+2
L=20 cm
W=x+2
W=13+2
W=15 cm