Concept explainers
To find: The length and width of the rectangle.
Answer to Problem 4ST
Width of the rectangle is 5 feet and length is 11 feet.
Explanation of Solution
Given information: The area of a rectangle is
Formula used: Area of rectangle
Calculation:
Let width of the rectangle is ‘
Length is 6 ft more than
So, length=
Equation for Area,
Distribute the left side of the equation,
Let’s factor and solve.
Find two integers whose multiplication is -55 but adds to 6.
Here, -5, 11 works.
The factored form is
Using zero product property,
Solve each of them for
Add both sides 5,
Solve the
Subtract both sides 11.
Here, width of the rectangle cannot be negative.
So, width=5
Length is 6 more than 5, so it is 11.
Conclusion: Width of the rectangle is 5 feet and length is 11feet.
Chapter 1 Solutions
Algebra: Structure And Method, Book 1
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