To find the dimensions of the rectangle.
Answer to Problem 9ST
The length of rectangle is
and the width of rectangle is
Explanation of Solution
Given information:
The length of rectangle is 9cm more than its width and the area of the rectangle is
Formula Used: Area of a rectangle =
Calculations:
Let the width of the rectangle =
Length is 9cm more than width x
So, the length of the rectangle =
Now, substituting values length = x , width =
Switching sides
Distribute x over
Subtract 90 on both sides
Break the expression into two groups:
Factor out GCF
Factor out common parenthesis
Apply zero product rule, set each factor equal to 0 and solve for x .
As we don’t consider any negative value for the length or width.
So the width of rectangle is
And length of rectangle =
Chapter 5 Solutions
Algebra: Structure And Method, Book 1
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