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Maths-

SAT

Easy

Question

The rectangular mirror shown above has width 3 feet and length 5 feet and is surrounded by a mosaic border with a width of x feet. If the area of the mirror with the border is 35 square feet, what is the width x, in feet, of the border?

The correct answer is: 1

(3 + 2x) (5 + 2x) = 35
15 + 16x + 4x² = 35
4x² + 10x – 20 = 0
x² + 4x – 5 = 0
(x + 5) (x – 1)
-5, 1
Width = 1

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