Answer:
Width of the reserve = 3 miles
Step-by-step explanation:
Given:
Area of game reserve = 27 square miles
Length of rectangular game reserve = 3 miles + 2[width]
Find:
Width of the reserve
Computation:
Assume;
Width of the reserve = w
So,
Length of rectangular game reserve = 3 miles + 2[width]
Length of rectangular game reserve = 2w + 3
Area of rectangle = l x b
Area of game reserve = Length of rectangular game reserve x Width of the reserve
27 = [2w + 3][w]
2w² + 3w = 27
2w² + 3w - 27 = 0
2w² + 9w - 6w - 27 = 0
w(2w + 9) - 3(2w + 9) = 0
(2w + 9)(w - 3)
So,
w = -9/2
w = 3
So,
Width of the reserve = 3 miles
