
Concept explainers
a.
To find the width of the stage.
a.

Answer to Problem 16CT
Width of the stage
Explanation of Solution
Given:We are given the area of stage by polynomial
Calculation:Area of stage is
Splitting the middle term
Now compare we get length
b.
To write an expression for perimeter of stage .
b.

Answer to Problem 16CT
Perimeter of stage
Explanation of Solution
Given:Length and breadth of stage are
Calculation:Perimeter of stage
Perimeter is
c.
To find the value of x.
c.

Answer to Problem 16CT
Value of x is
Explanation of Solution
Given: Area of trapdoor is
Calculation: Area of trapdoor is
Splitting the middle term
Negative value is rejected .
Therefore
d.
To check if area of stage is at least times the area of trapdoor.
d.

Answer to Problem 16CT
Area of stage
Area of trapdoor is
Explanation of Solution
Given: Length and breadth of trapdoor are
Calculation: Area of stage is
Area of trapdoor
Therefore, area of stage is more than 10 times the area of trapdoor.
Chapter 7 Solutions
BIG IDEAS MATH Algebra 1: Common Core Student Edition 2015
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