a.
To find : Area of both trapezoids.
a.
Answer to Problem 5MRE
The area of trapezoid ABCD and PQRS are 48 square units and 108 square units respectively.
Explanation of Solution
Given information :
The given trapezoids are
Calculation :
Since, the area of the trapezoid is given by
Therefore,
Area of the trapezoid ABCD is,
Now, area of the trapezoid PQRS is,
Hence,
The area of trapezoid ABCD and PQRS are 48 square units and 108 square units respectively.
b.
To find : The ratio of the area.
b.
Answer to Problem 5MRE
The ratio is
Explanation of Solution
Given information :
The area of trapezoid ABCD and PQRS are 48 square units and 108 square units respectively.
Calculation :
From part (a) the area of trapezoid ABCD is 48 square units and PQRS is 108 square units.
Therefore, their ratios are
Hence,
The ratio is
c.
To compare : the ratio of the area to the scale factor.
c.
Answer to Problem 5MRE
The ratio of the area is equal to the square of the scale factor.
Explanation of Solution
Given information :
The ratio of the area is 9 : 4 and scale factor is 1.5.
Calculation :
The ratio of area is 9 : 4 and scale factor is 1.5.
Since,
Also,
Hence,
The ratio of the area is equal to the square of the scale factor.
Chapter 12 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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