Question

- polynomial X^2-7X+12 zeros are
lengths of rectangle
sides then find perimeter of
reclangle ​

Answer 1

Answer:

The perimeter of rectangle is 14.

Step-by-step explanation:

A quadratic polynomial is given and it is said that the zeroes of the polynomial are the lengths of the sides of the rectangle.

Zeroes of the polynomial mean the factors that we get when we equate the polynomial to zero.

Equation the given quadratic equation to zero:

$x^{2} -7x+12=0\\x^{2} -4x-3x+12=0\\x(x-4)-3(x-4)=0\\(x-4)(x-3)=0$

x=4,3

The zeroes of the polynomial are 4 and 3.

It is said that the zeroes are the sides of the rectangle, thus we can say that the length of the rectangle is 4 and breadth is 3

The perimeter of a rectangle is given by=2(l+b)

where l is length and b is breadth

2(l+b)=2(4+3)=2x7=14

Thus the perimeter of the rectangle is 14.