Concept explainers
Tocalculate: the dimensions of a rectangular tract of land when its perimeter is 44 km and its area is 120 sq km.
Answer to Problem 65E
Dimension of the rectangular tract of land is:
Explanation of Solution
Given information: Perimeter of the rectangle is 44 km and area is 120 sq km
Formula used:
Perimeter of the rectangle is:
Area of rectangle is:
Where,
l is the length of the rectangle
w is the width of the rectangle.
Calculation:
Suppose length of the rectangle is l and width is w
Given that,
Perimeter is 44 km
Solve this equation for l
Also given that, area is 120 sq km
Substitute the value of l from equation (1)into the equation (2)
Solve this quadratic equation:
We have two values for width
When w = 10 km, length is:
When w = 12 km, length is:
Chapter 7 Solutions
EBK PRECALCULUS W/LIMITS
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