a rectangular park 80 meters long and 60 meters wide is surrounded by a driveway of uniform width.?

Question

how wide is the driveway if its area is 3/25 of the area of the park?

solution please

Answer 1

Let width of driveway = x metres
Park area = 80 x 60 m² = 4800 m²
Drive area = 2 (80x) + 2(60x) + 4x²
Drive area = 4x² + 280 x
Drive area = (3/25)(4800) m² = 576 m²
4x² + 280x = 576
4x² + 280x - 576 = 0
x² + 70x - 144 = 0
(x + 72) (x - 2) = 0
x = 2
Width of driveway = 2 m

Answer 2

Area = Length x Width
Length = 80
Width= 60

Area of rectangular park = 80x60 = 4800m²

Now Area of driveway is 3/25 of area of rectangle

Area of driveway = 3/25 ( 4800) = (3x4800)/25 = 576m²

Answer 3

80 meters long and 60 meters wide = rectangle

the perimeter of the park is 2*80 + 2*60 = 280 meters

Our driveway is 280 meters long then, but how many meters wide?

wide x long = area

We know that the rectangle area (b*h) is x

x = (80*60) ; x = 4800 meters^2

Our driveway area (b*h) is 3/25 of the retangle's area (4800)

Then, we want the driveway's wide (h)

b*h/2 = 3/25*4800

140*h = 576

h = 4.11 or the driveway's wide is aproximatelly 4 meters wide.