Math

posted by Ethan

An architect is designing an atrium for a hotel. The Atrium is to be rectangular with a perimeter of 728ft of brass piping. What dimensions will maximize the area of the atrium?

  1. Damon

    p = 2 L + 2 w = 728 so L + w = 364 and L = (364-w)
    A = L w

    A = (364-w)w = 364 w - w^2
    dA/dw = 0 at max or min = 364 -2w
    so
    w = 182
    L = 364-w = 182
    LOL, a square
    or if you do not know calculus
    w^2 - 364 w = -A
    complete square to find vertex
    w^2 - 364 w + (182)^2 = -A+182^2
    (w-182)^2 = -A+182^2
    vertex at w = 182 again

Respond to this Question

First Name

Your Answer

Similar Questions

  1. Anatomy

    Is this the correct direction of blood flow through blood vessels Right atrium, right ventricle, pulmonary artery, pulmonary veins, left atrium, left ventricle.If not please help.
  2. Biology

    Why the right atrium is larger than the left atrium.
  3. math

    An architect is designing the floors for a hotel. Each floor is to be rectangular and is allotted 720 ft of security piping around walls outside the rooms. What dimensions of the atrium will allow an atrium at the bottom to have maximum …
  4. Biology

    Which is the correct direction of blood flow?
  5. human biology cardiology

    A flow of blood directly from the right atrium to left atrium is a dangerous complication of certain heart abnormalities. It can lead to cyanosis. What do you know about the flow of blood through the heart and lungs that would explain …
  6. BIOLOGY 12

    Explain the path of deoxygenated blood from the right atrium to the lungs
  7. heart

    When blood flows into the right atrium from the body, it contains.. My question/answer: I know that the oxygen is poor in the right atrium. But what about the carbon dioxide in there?
  8. science

    1. The liquid part of the blood is called _____. (1 point) hemoglobin plasma platelets white blood cells 2. Your circulatory system can best be compared to _____. (1 point) gates a net pipes a balloon 3. Which of the following shows …
  9. Biology

    The normal flow of blood through the heart would be right atrium → right ventricle → lungs → left atrium → left ventricle. right atrium → left atrium → left ventricle → aorta. lungs → …
  10. Science

    When the right atrium contracts, the right ventricle always contracts simultaneously. left atrium always contracts simultaneously. left atrium always relaxes simultaneously. left atrium and left ventricle always relax simultaneously. …

More Similar Questions