The area of a rectangular garden is given by the quadratic function: A (x) = -6x^2 + 105x– 294 When asked to find the possible length and width of the garden, Joe said the length was - 6x + 21 and
the width was x - 14. Bree answered the same question by saying the length was -3x + 42 and the
width was 2x – 7.
Who is correct and why?

Bree is correct

Step-by-step explanation:

Given

Area of rectangle;

Joe's Result:

Bree' Result

Required

Determine whose result is correct and why.

To determine the correct result, we simply find the roots of the quadratic function

Such that A(x) = 0

Start Factorization;

Expand

Group the above expression in 2s

Factorize

Recall that; Area of a rectangle is calculated by;

By comparison;

At this point, we can conclude that Bree's computation is correct;

Reason

The product of (-3x + 42) and (2x – 7) will result in the given area of the rectangle

step-by-step explanation:

bull

step-by-step explanation: