SOLUTION: Mrs.Ballero has a square photo of her beautiful children that she would like to add a uniform border to. Her frame is 6 inches by 6 inches. She wants no more than 45 square inches
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Question 820708: Mrs.Ballero has a square photo of her beautiful children that she would like to add a uniform border to. Her frame is 6 inches by 6 inches. She wants no more than 45 square inches of area added to the photo. Write an inequality that can be used to find the possible values
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Mrs.Ballero has a square photo of her beautiful children that she would like to add a uniform border to.
Her frame is 6 inches by 6 inches.
She wants no more than 45 square inches of area added to the photo.
Write an inequality that can be used to find the possible values.
:
Let x = the width of the border
Then the overall area (picture & border) will be (2x+6) by (2x+6)
the equation for overall area - the picture area = the frame area
(2x+6)^2 - 6^2 < 45
4x^2 + 24x + 36 - 36 < 45
solve this equation to find the width of the borders
4x^2 + 24x - 45 = 0
Factors to
(2x+ 15)(2x-3) = 0
the positive solution
2x = 3
x = 3/2
x < 1.5 in would be the width of the border
:
:
The border which is also a square, gives an overall dimension
less than 9 by less than 9 inches
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