Concept explainers
(a)
To draw: Squares with different sides.
(a)
Explanation of Solution
Given:
Side of MNPQ = Twice the side of ABCD
Side of FGHJ = Half the side of ABCD
Calculation:
Let the side of ABCD be x meters.
The side of MNPQ will be 2x meters.
The side of FGHJ will be x/2 meters.
(b)
The blank spaces of the given table.
(b)
Answer to Problem 45PPS
Explanation of Solution
Given:
Side of MNPQ = Twice the side of ABCD
Side of FGHJ = Half the side of ABCD
Calculation:
Let the side of ABCD be x meters.
Perimeter of the square will be:
The side of MNPQ will be 2x meters.
Perimeter of the square will be:
The side of FGHJ will be x/2 meters.
Perimeter of the square will be:
The table will be:
(c)
The relationship between the perimeter and the side length of the square.
(c)
Answer to Problem 45PPS
Directly Proportional.
Explanation of Solution
Given:
Side of MNPQ = Twice the side of ABCD
Side of FGHJ = Half the side of ABCD
Calculation:
From the below table:
It can be seen that perimeter is directly proportional to the side length of the square. That is, if the side length is doubled, the perimeter gets doubled and if the side length is halved, the perimeter is halved.
Chapter 2 Solutions
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