Question

The park service is studying a rectangle piece of land that has an area of 91 squares miles. the length of this piece of land is 1 mile shorter than double the width

Answer 1

To solve this problem, use variables to represent the dimensions of the rectangle. Set up an equation using the given information and solve for the dimensions.

Step-by-step explanation:

To solve this problem, let's use variables to represent the dimensions of the rectangle. Let the width be denoted as 'w' and the length be denoted as '2w - 1'. We are given that the area of the rectangle is 91 square miles, so we can set up the equation:

w * (2w - 1) = 91

Simplifying the equation, we get:

2w^2 - w - 91 = 0

Factoring or using the quadratic formula, we find that the width is approximately 7.5 miles and the length is approximately 14 miles. Therefore, the dimensions of the rectangle are 7.5 miles by 14 miles.