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Scorpion4ik [409]
4 years ago
15

The width of the rectangle is 2 more than the length. The area of the rectangle is 63 square inches. How long is the width?

Mathematics
1 answer:
wariber [46]4 years ago
4 0

Answer:

9 inches

Step-by-step explanation:

Area of rectangle= length ×width

Let the length of the rectangle be x inches.

Width of rectangle= (x +2) inches

<em>since</em><em> </em><em>the</em><em> </em><em>width</em><em> </em><em>is</em><em> </em><em>2</em><em> </em><em>more</em><em> </em><em>than</em><em> </em><em>the</em><em> </em><em>length</em><em>.</em>

63= x(x+2)

63= x(x) +2x

<em>Bringing</em><em> </em><em>constant</em><em> </em><em>to</em><em> </em><em>one</em><em> </em><em>side</em><em>,</em>

x² +2x -63= 0

(x +9)(x-7) = 0 (<em>factorise</em><em>)</em>

x+9= 0 or x-7= 0

x= -9 or x= 7

(reject)

width of rectangle

= 7+2

= 9 inches

*We reject x= -9 since the length of the rectangle cannot be a negative number.

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