Concept explainers
(a)
To find: The ratio of the area of the two rectangles.
(a)
Answer to Problem 48PPS
The ratio of the area of the rectangles is
Explanation of Solution
Given:
The rectangle QRST is the similar to rectangle JKLM with the sides in the ratio 4:1.
Calculation:
Consider the area of the JKLM is,
Since, the ratio of JKLM and QRST is in the ratio 1:4.
Then,
(b)
To find: The dimension of each of the rectangle is tripled and what is the new ratio of the sides of the rectangles.
(b)
Answer to Problem 48PPS
There is no change in the ratio it is.
Explanation of Solution
Given:
The rectangle QRST is the similar to rectangle JKLM with the sides in the ratio 4:1.
Calculation:
Consider the area dimension of JKLM is tripled.
Consider the area of the JKLM is,
Since, the ratio of JKLM and QRST is in the ratio of the sides is,
Thus, there is no change in the ratio it is
(c)
To find: The ratio of the area of these larger rectangles.
(c)
Answer to Problem 48PPS
The ratio of the area is
Explanation of Solution
Given:
The rectangle QRST is the similar to rectangle JKLM with the sides in the ratio 4:1.
Calculation:
Consider the area dimension of JKLM is tripled.
Consider the area of the JKLM is,
Since, the ratio of JKLM and QRST is in the ratio 1:4.
Then,
Thus, the ratio of the area is
Chapter 7 Solutions
Geometry, Student Edition
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