Concept explainers
(a)
Whether the statement is true of false
(a)
Answer to Problem 26HP
True
Explanation of Solution
Given:
Area of larger rectangle = Sum of area of smaller rectangles made up of larger rectangles
Calculation:
This statement is true because the sum of the areas of smaller rectangles made up from the larger rectangle is equal to the area of the larger rectangles
Consider a rectangular park having length = 20m and width = 10m
Suppose this park is divided into two parts A and B with dimensions as
A: length = 10m, width = 10m
B: length = 10m, width = 10m
The area of bigger rectangle will be
The area of rectangle A will be
The area of rectangle B will be
Hence,
(b)
Whether the statement is true of false
(b)
Answer to Problem 26HP
False
Explanation of Solution
Given:
Perimeter of larger rectangle = Sum of perimeters of smaller rectangles made up of larger rectangle
Calculation:
This statement is false because the sum of the perimeters of smaller rectangles made up from the larger rectangle is not equal to the perimeter of the larger rectangle
Consider a rectangular park having length = 20m and width = 10m
Suppose this park is divided into two parts A and B with dimensions as
A: length = 10m, width = 10m
B: length = 10m, width = 10m
The perimeter of bigger rectangle will be
The perimeter of rectangle A will be
The perimeter of rectangle B will be
Hence,
Chapter 5 Solutions
Pre-Algebra, Student Edition
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