a.
To write and solve the system of equations
a.
Answer to Problem 31E
Length is 5 inches and breadth is 4 inches.
Explanation of Solution
Given information:
Perimeter of new rectangle = 46 inches
Perimeter of old rectangle = 18 inches
Calculation:
Let the length be l and breadth be w .
According to question,
Solving,
Now for new rectangle, length is tripled and breadth is doubled.
So,
Solving,
Taking (1),
Dividing by 2 and rearranging,
Put in (2),
Solving,
Adding terms,
Dividing by -2,
Put in (3)
Hence, length is 5 inches and breadth is 4 inches.
b.
To find the length and width of new rectangle
b.
Answer to Problem 31E
New length is 15 inches.
New breadth is 8 inches.
Explanation of Solution
Given information:
Length is 5 inches and width is 4 inches.
The length is tripled and width is doubled.
Calculation:
So, length, l = 5
Width, w = 4
New length is
New breadth is
Chapter 5 Solutions
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