Respuesta :
The area covered by the pool and the cement walkway is 304 square feet. The width of the walkway would be 5 feet
What is the area of the rectangle?
The area of the rectangle is the product of the length and width of a given rectangle.
The area of the rectangle = length × Width
Let x be represent the width of the walkway.
The pool measures 25 ft by 10ft . If the walkway must have a uniform width around the entire pool, then the total length of the pool and the walkway = 25+ x + x = 25 + 2x
The total width of the pool and the walkway = 10 + x + x = 10 + 2x
The area covered by the pool and the cement walkway is 304 square feet. This means that;
(25 + 2x)(10 + 2x) = 304
250 + 50x + 20x + 4x^2 = 304
4x^2 + 70x + 250 - 304 = 0
4x^2 + 70x - 54 = 0
x(x + 20) - 5(x + 20) = 0
(x - 5)(x + 20) = 0
x = 5 or x = - 20
Thus The width cannot be negative.
Therefore, the width of the walkway is 5 feet.
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