rosanakim777 rosanakim777
  • 21-06-2020
  • Mathematics
contestada

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?

Respuesta :

Leora03
Leora03 Leora03
  • 21-06-2020

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

since the width is 2 more than the length.

63= x(x+2)

63= x(x) +2x

Bringing constant to one side,

x² +2x -63= 0

(x +9)(x-7) = 0 (factorise)

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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