Concept explainers
a.
To find: Translate the sentences into equations.
a.
Answer to Problem 36STP
The sentences into equations are
Explanation of Solution
Given information:
Three times the width of a certain rectangle exceeds twice its length by three inches, and four times its length is twelve more than its merimeters
Calculation:
Consider the first sentence:
Let the width and length of the rectangle be
Then first sentence into an equation will be
Consider the second sentence:
Let the perimeter of the rectangle be
Then second sentence into an equation will be
Hence,
The sentences into equations are
b.
To find: The dimensions of the rectangle.
b.
Answer to Problem 36STP
The dimensions are
Explanation of Solution
Given information:
Three times the width of a certain rectangle exceeds twice its length by three inches, and four times its length is twelve more than its perimeters.
Calculation:
From (a):
Also, it is known that
Substitute value of
Substitute value of
Hence,
The dimensions are
c.
To find: the area of the rectangle.
c.
Answer to Problem 36STP
The area of the rectangle is 315
Explanation of Solution
Given information:
Three times the width of a certain rectangle exceeds twice its length by three inches, and four times its length is twelve more than its perimeters.
Calculation:
Area of the rectangle
Hence,
The area of the rectangle is 315
Chapter 12 Solutions
Algebra 1
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