thatonemathchick thatonemathchick
  • 13-03-2022
  • Mathematics
contestada

The area of a rectangle is given by x2 - 12x + 35. Determine the length and breadth in
terms of x. Hence, determine the length and breadth if x = 20.
(3)

Respuesta :

Paounn
Paounn Paounn
  • 13-03-2022

Answer:

[tex]x+7; x+5; 27; 25[/tex]

Step-by-step explanation:

First of all, we need to write [tex]x^2+12x+35[/tex] as a product. The easiest way is to find a pair of numbers whose product is 35 and sum is 12. Looking at the product, you notice it's 7 and 5, which added together indeed give 12.

The two side length are thus [tex]x+7[/tex] and [tex]x+5[/tex].

In the specific case, when [tex]x=20[/tex] the two sides measures 27 and 25.

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