Answered

The rectangle below has an area of x^2+8x+15x
2
+8x+15x, squared, plus, 8, x, plus, 15 square meters and a width of x+3x+3x, plus, 3 meters.
What expression represents the length of the rectangle?
A rectangle with a width of x plus three and an unknown length. The area of the rectangle is x squared plus eight x plus fifteen.



Answer :

The length of the given rectangle is x + 5 meters.

What is a rectangle?

  • A rectangle is a quadrilateral with four right angles in the Euclidean plane.
  • It can alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal.

Given:

  • Area of rectangle  = x² + 8x + 15 sq.meters
  • Width = x + 3 meters

To find: Length of the rectangle

Finding:

Let 'a' be the length of the rectangle.

We know that area of a rectangle = length * width

On substituting the given values in the above formula, we get:

=>  x² + 8x + 15 = a (x + 3)

=> a = [tex]\frac{x^2+8x + 15}{x+3}[/tex]

=> a = [tex]\frac{(x+5)(x+3)}{x+3}[/tex]

=> a = x + 5

Hence, The length of the given rectangle is x + 5 meters.

To learn more about rectangles, refer to the link: brainly.com/question/25292087

#SPJ4

Other Questions