Concept explainers
To Calculate: The height and the perimeter of the trapezoid.

Answer to Problem 16PSC
The height and the perimeter of the trapezoid are
Explanation of Solution
Given information:
The sides of the trapezoid are in the ratio
The area is
Formula used:
Here, we are using the formula
Area of trapezoid =
(here, “ a “is upper base, “ b ” is lower base and “ h ” is height)
Calculation:
Here, let the side of trapezoid be x
Area of trapezoid =
(where, “ a ” is upper base, “ b ” is lower base and “ h ” is height)
And, area of trapezoid =
Here, In
Now,
We know that
Now, from equation
Now, Perimeter of trapezoid =
→
→
→
Conclusion: Hence,the height and the perimeter of the trapezoid are
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