A rectangle has sides of length x cm and y cm. a. If the perimeter is 24
Question:
A rectangle has sides of length x cm and y cm.
a. If the perimeter is 24 cm, find the lengths of the sides when the area is a maximum, confirming that it is a maximum.
b. If the area is 36 cm2, find the lengths of the sides when the perimeter is a minimum, confirming that it is a minimum.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 50% (6 reviews)
a To find the maximum area of the rectangle we need to use the perimeter as a constraint The perimeter of a rectangle is P 2x 2y 24 cm We can use this ...View the full answer
Answered By
BillClinton Muguai
I have been a tutor for the past 5 years. I have experience working with students in a variety of subject areas, including computer science, math, science, English, and history. I have also worked with students of all ages, from elementary school to college. In addition to my tutoring experience, I have a degree in education from a top university. This has given me a strong foundation in child development and learning theories, which I use to inform my tutoring practices.
I am patient and adaptable, and I work to create a positive and supportive learning environment for my students. I believe that all students have the ability to succeed, and it is my job to help them find and develop their strengths. I am confident in my ability to tutor students and help them achieve their academic goals.
0.00
0 Reviews
10+ Question Solved
Related Book For
Cambridge IGCSE And O Level Additional Mathematics
ISBN: 9781510421646
1st Edition
Authors: Val Hanrahan, Jeanette Powell
Question Posted:
Students also viewed these Sciences questions
-
A cube has sides of length x cm and area V cm 3 . The volume is increasing at a rate of 2 cm 3 s -1 . Find the rate of increase of x when V = 512.
-
A square has sides of length x cm and diagonals of length 12 cm. Use Pythagoras theorem to find the exact value of x and work out the area of the square.
-
A square has sides of length x cm and area A cm 2 . The area is increasing at a constant rate of 0.2 cm 2 s -1 . Find the rate of increase of x when A = 16.
-
Two companies, Energen and Hastings Corporation, began operations with identical balance sheets. A year later, both required additional manufacturing capacity at a cost of $50,000. Energen obtained a...
-
Part 1 a. Both NaCl and MgCl2 are soluble ionic compounds. Write the balanced chemical equations for these two substances dissolving in water.
-
The statement of retained earnings of Gary Larson Publishers is presented below. Required: For the transactions that affected Larson's retained earnings, reconstruct the journal entries for the...
-
The United States brought a lawsuit requesting forfeiture of a \($38.5\) million jet purchased by Teodoro Nguema Obiang Mangue (Nguema) because the government believed the jet had been purchased with...
-
Weighted-average method, spoilage, equivalent units. (CMA, adapted) Consider the following data for November 2009 from Gray Manufacturing Company, which makes silk pennants and uses a process-costing...
-
Marshall's concept of external economies and diseconomies refers to: a) Changes in output resulting from changes in input levels b) The effects of production on the environment c) The benefits or...
-
Purse Corporation owns 70 percent of Scarf Companys voting shares. On January 1, 20X3, Scarf sold bonds with a par value of $600,000 at 98. Purse purchased $400,000 par value of the bonds; the...
-
The point (2, 8) is on the curve y = x 3 px + q. a. Use this information to find a relationship between p and q. b. Find the gradient function dy/dx. The tangent to this curve at the point (2, 8) is...
-
For each curve in question. i. Find dy/dx and the value(s) of x for which dy/dx = 0 ii. Classify the point(s) on the curve with these x-values iii. Find the corresponding y-value(s) iv. Sketch the...
-
Agmore Breakthrough Corp. is a small biotech company listed on the TSX. To conserve cash, the company frequently settles obligations through the issuance of options. Shares are now trading for $7 per...
-
Explain in detail how the following protocols operate. Application Protocol -Hypertext Transfer Protocol (HTTP) Transport Protocol -Transmission Control Protocol (TCP) Internet Protocol IP
-
Explain with an example which approaches you should take when confronting a forensic case as an investigator.
-
a company may generate a high income in a particular period due to increased sales of its products. However, if customers have not yet paid for these products, the company's cash flow may not...
-
Explain what can be done to counter the negative effects of EMI and RFI?
-
Solve the equation. Check the solution. -8x=-16
-
Show that A and AT have the same eigen values. Do they necessarily have the same eigenvectors? Explain.
-
suppose a nickel-contaminated soil 15 cm deep contained 800 mg/kg Ni, Vegetation was planted to remove the nickel by phytoremediation. The above-ground plant parts average 1% Ni on a dry-weight bas...
-
Find the equation of the line passing through a. (3, 2) and (5, 7) b. (-1, 6) and (5, - 3) c. (5, - 2) and (- 7, 4).
-
Write down the gradient of lines perpendicular to a line with gradient a. 3 b. c. 2/5 d. 1/ e. -2
-
Find the length of the line segment joining a. (2, 0) and (5, 0) b. (-7, 4) and (- 7, 8) c. (2, 1) and (8, 9) d. (-3, 1) and (2, 13) e. (5, - 2) and (2, -6) f. (4, 4) and (- 20, - 3) g. (6, - 5) and...
-
Freshly painted aluminum rods, 0.02 m in diameter, are withdrawn from a drying oven at 150 C and cooled in a 3 m/s cross flow of air at 23 C. How long will it take to cool them to 40 C so they can be...
-
Here we assume we have a single wind turbine. Determine the power extractable from the moving air under the conditions given. For all, assume an air density of 1 kg/m3 and maximum power extractable...
-
Suppose you have a 5 cubic inch block of iron and a 20 cubic inch block of iron. How does the density of the two blocks compare
Study smarter with the SolutionInn App