Find their dimensions of the garden.
Answer to Problem 6MPS
12 meter and 10 meters
Explanation of Solution
Given:
A rectangular garden has perimeter 44 m.A walkway 2 m wide surrounds the garden.The combined area of the garden and walkway is 224 square meter.
Formula Used:
Roots of the
Calculation:
Let the length of the park be l and width of the park be w .
Perimeter = 44 m
So,
Combined length of park and walkway = 2 + l +2
Combined width of park and walkway = 2 + w + 2
Area = 224 square meter
So,
Compare the equation with standard quadratic equation : a = 1 , b = -22 , c = 120,
So , roots are
So, length of park l = 22- w = 12 m and 10m
Hence , the dimensions of the park are 12 meters and 10 meters.
Chapter 10 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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