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<h3><u>Option A</u></h3>
is the required equation to calculate width of rectangular frame that has a total area of 140 square inches.
Given that,
Length of a rectangular frame is given as 2x + 10
Width of the rectangular frame is given as 2x + 6
Total area = 140 square inches
<em><u>The area of rectangular frame is given as:</u></em>
Plugging in values, we get
This is the required equation to calculate width of rectangular frame
Solve the above quadratic equation to get the value of "x"
<em><u>Use the quadratic equation formula:</u></em>
Here a = 4 ; b = 32 ; c = -80
x = 2 or x = -10
Now measurement cannot be negative, so taking the positve value of "x", we can calculate the width
So put "x" = 2
Width of the rectangular frame = 2x + 6 = 2(2) + 6 = 10
Thus the width of frame is 10 inches