Question

calculate a perimeter of a rectangle whose area is 25x²-35x+12​

Answer 1

Answer:

So, the perimeter = 20x – 14

Step-by-step explanation:

Area of rectangle = 25x²-35x+12​

We know, area of rectangle = length × breadth

So, by factoring 25x²-35x+12​,

the length and breadth can be obtained. 25x²-35x+12​

= 25x²– 15x – 20x + 12

==> 5x(5x – 3) – 4(5x – 3)

==> (5x – 3)(5x – 4)

So, the length and breadth are (5x – 3)(5x – 4).

Now, perimeter = 2(length + breadth)

So, perimeter of the rectangle =

2((5x – 3)+(5x – 4)) =

2(5x – 3 + 5x – 4) =

2(10x – 7)

==> 20x – 14

So, the perimeter = 20x – 14