PROBLEM SOLVINGInstruction: SOLVE THE PROBLEMS GIVEN BELOW. BOX YOUR FINAL ANSWER AND SHOWYOUR SOLUTIONS LEGIBLY.1. A rectangle has an area of 180 cm? and a perimeter of 54 cm. What are its dimensions?2. The perimeter of a rectangle is 70, and its diagonal is 25. Find its length and width.3. Find the area bounded by the curve x? +y?+ 4x -14y + 44 = 04. A cable suspended from supports which are 200 m apart has a sag of 5m. if the cable hangsin the form of a parabola, find its equation, taking the origin at the lowest point.5. The arch of an underpass is a semi-ellipse 60 ft. wide and 20 ft. high. Find the clearance atthe edge of a lane if the edge is 20 ft. from the middle.6. A pair of buildings on a college campus are shaped and positioned like a portion ofbranches of the hyperbola 400y2-225x2 90 000, where x and y are in meters. How farapart are the buildings at their closest point?7. Find the sum of all the odd numbers between 100 and 1,000.8. Find the sum of the numbers between 361 and 589 that are divisible by 19.9. The fourth term of an arithmetic sequence is equal to 1, and the difference 20th and the 14thterms is 54. Determine the sum of the first 10 terms.10. Find the sum of the first 10 terms of the geometric progression -343, 49, -7, ..

Since you have asked multiple question, we will solve the first question for you as per our guide…

Answered: LEGIBLY 1. A rectangle has an area of…

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter9: Systems Of Linear Equations

Section: Chapter Questions

Problem 10MPS

See similar textbooks

Similar questions

Look at the two figures below. (a) Which figure looks like it has the larger area? Which looks like it has the larger perimeter? (b) Now calculate the area and perimeter of each figure. Which has the larger area? Which has the larger perimeter? (c) Were the results of part (b) the same as your answers in part (a)? Is that surprising to you?
The Turners want to install outdoor carpet around their rectangular pool. The dimensions for the rectangular area formed by the pool and its walkway are 20 ft by 30 ft. The pool is 12 ft by 24 ft. aHow many square feet need to be covered? bApproximately how many square yards does the area in part a represent? cIf the carpet costs 12.95 per square yard, what will be the cost of the carpet?
Gardening A gardener wishes to enclose her rectangular raspberry patch with 40 feet of fencing. The raspberry bushes are planted along the garage, so no fencing is needed on that side. Find the dimensions if the total area is to be 192 feet.
Edging a Planter A woman wants to make a small planter and surround it with edging material. She is deciding between two designs. Design 1: A square planter Design 2: A circular planter Edging material costs 3 a foot for the straight variety, which she would use for design 1 and 4 a foot for the flexible variety, which she would use for design 2. a If she decides on a perimeter of 24 ft, which design would give her the larger planting area? b If she decides to spend 120 on edging material, which design would give her the larger planting area?
Enclosing a field You have 16 miles of fence that you will use to enclose a rectangle field. a.Draw a picture to show that you can arrange the 16 miles fence into a rectangle of width 3 miles and length 5 miles. What is the area of this rectangle? b.Draw a picture to show that you can arrange the 16 miles fence into a rectangle of width 2 miles and length 6 miles. What is the area of this rectangle? c.The first two parts of this exercise are designed to show you that you can get different areas for the rectangle of the sane perimeter, 16 miles. In general, if you arrange the 16 miles of fence into a rectangle of width w miles, then it will enclose an area of A=w8-w square miles. iMake a graph of the area enclosed as a function of w, and explain what the graph is showing. iiWhat width w should you use to enclose the most area? iiiWhat is the length of the maximum-area rectangle that you made, and what kind of figure do you have?

Recommended textbooks for you

Algebra: Structure And Method, Book 1

Algebra

ISBN:

9780395977224

Author:

Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:

McDougal Littell

College Algebra

Algebra

ISBN:

9781305115545

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

Algebra and Trigonometry (MindTap Course List)

Algebra

ISBN:

9781305071742

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

Algebra: Structure And Method, Book 1

Algebra

ISBN:

9780395977224

Author:

Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:

McDougal Littell

College Algebra

Algebra

ISBN:

9781305115545

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

Algebra and Trigonometry (MindTap Course List)

Algebra

ISBN:

9781305071742

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Functions and Change: A Modeling Approach to Coll…

Algebra

ISBN:

9781337111348

Author:

Bruce Crauder, Benny Evans, Alan Noell

Publisher:

Cengage Learning

Elementary Geometry For College Students, 7e

Geometry

ISBN:

9781337614085

Author:

Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:

Cengage,

SEE MORE TEXTBOOKS

LEGIBLY 1. A rectangle has an area of 180 cm2 and a perimeter of 54 cm. What are its dimensions?