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

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc