To find the dimensions of each rectangle and make a sketch of them.
Answer to Problem 1ST
First rectangle:
Length:
Width:
Second rectangle:
Length:
Width:
Explanation of Solution
Given information:
The length of first rectangle is 8 cm more than its width.
The second rectangle is 6 cm longer and 5 cm wider than the first rectangle.
The perimeter of second rectangle is 242 cm.
Formula Used : Perimeter of a rectangle = 2(length + width).
Calculation:
Let the width of the first rectangle =
Length of first rectangle is 8cm more than width =
Width of second rectangle (5cm more than width of first rectangle) =
Length of second rectangle(5cm more than length of first rectangle) =
Perimeter of second rectangle =
Substituting
Switching sides
Simplify
Distribute 2 over
Subtract 38 on both sides:
Divide both sides by 4
So, the width of first rectangle is
The length of first rectangle =
Therefore, the width of second rectangle =
The length of the second rectangle =
Chapter 3 Solutions
Algebra: Structure And Method, Book 1
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