Given:
Area of rectangle =
Width of the rectangle is equal to the greatest common monomial factor of .
To find:
Length and width of the rectangle.
Solution:
Width of the rectangle is equal to the greatest common monomial factor of is
Now,
So, width of the rectangle is .
Area of rectangle is
Taking out GCF, we get
We know that, area of a rectangle is the product of its length and width.
Since, width of the rectangle is , therefore length of the rectangle is
.
<em><u>Question:</u></em>
A contractor has at most $42 to spend on nails for a project. Finishing nails cost $0.45 per pound and common nails cost $0.60 per pound. He would like to purchase at least 30 pounds of nails total. Write a system of linear inequalities
<em><u>Answer:</u></em>
The system of linear inequalities are:
<em><u>Solution:</u></em>
Let "x" be the pounds of finishing nails
Let "y" be the pounds of common nails
Given that,
He would like to purchase at least 30 pounds of nails total.
"at least" means that he can purchase 30 pounds or more than 30 pounds also
So, we have to use "greater than or equal to" symbol
From given,
Cost of 1 pound of finishing nail = $ 0.45
Cost of 1 pound of common nail = $ 0.60
A contractor has at most $42 to spend on nails for a project
"at most" means he can spend 42 or less than 42
So we have to use " less than or equal to" symbol
Thus we frame a inequality as:
Thus the system of inequalities are:
