The diagonal of a television monitor measures 32 inches. If a 20-foot ladder is to be safely used, then how high against a building will the top of the ladder reach? Round off to the nearest hundredth.ħ1. To safely use a ladder, the base should be placed about 1/4 of the ladder’s length away from the wall. How far is the base of the ladder from the wall? Round off to the nearest hundredth.ħ0. The top of a 20-foot ladder, leaning against a building, reaches a height of 18 feet. If the width is 2 inches less than the length, then find the dimensions of the rectangle.Ħ9. The diagonal of a rectangle measures 2 3 inches. If the width is 4 inches less than the length, then find the dimensions of the rectangle.Ħ8. The diagonal of a rectangle measures 6 3 inches. If the diagonal of a square measures 3 10 units, then find the length of each side.Ħ7. If the sides of a square measure 10 6 units, then find the length of the diagonal.Ħ6. If the total area of the garden, including the border, is to be 100 square feet, then find the width of the brick border.Ħ5. By how much must he increase the length and width?Ħ4.Ě uniform brick border is to be constructed around a 6-foot-by-8-foot garden. Next season he plans on doubling the planting area by increasing the width and height by an equal amount. George maintains a successful 6-meter-by-8-meter garden. The perimeter of a rectangle is 50 inches and the area is 126 square inches. The perimeter of a rectangle is 54 centimeters and the area is 180 square centimeters. If the base is 4 meters less than the height, then find the length of the base and the height.Ħ1. The area of a triangle is 8 square meters. If the base is 4 feet more than 2 times the height, then find the length of the base and the height.Ħ0. The area of a triangle is 14 square feet. If the base is 2 times the height, then find the length of the base.ĥ9. The area of a triangle is 48 square inches. If the length is 6 meters less than 3 times the width, then find the dimensions of the rectangle.ĥ8. The area of a rectangle is 27 square meters. If the length is 2 feet more than the width, then find the dimensions of the rectangle.ĥ7. The area of a rectangle is 6 square feet. If the length is 3 times the width, then find the dimensions of the rectangle.ĥ6. The area of a rectangle is 60 square inches. Round off your answers to the nearest hundredth.ĥ5. If 4 times the smaller number is subtracted from the square of the larger, then the result is 21. If the sum of the squares of the two numbers is 38, then find the numbers.ĥ4.Ě positive real number is 1 more than twice another. Find the numbers.ĥ3.Ě positive real number is 6 less than another. When twice the smaller is subtracted from the square of the larger, the result is 4. Find the numbers.ĥ2.Ě positive real number is 1 more than another. When 4 times the larger is added to the square of the smaller, the result is 49. Set up an algebraic equation and use it to solve the following.ĥ1.Ě positive real number is 2 less than another. Do not solve.Ĭhoose the appropriate method to solve the following. zip file containing this book to use offline, simply click here.Ĭalculate the discriminant and use it to determine the number and type of solutions. You can browse or download additional books there. More information is available on this project's attribution page.įor more information on the source of this book, or why it is available for free, please see the project's home page. Additionally, per the publisher's request, their name has been removed in some passages.
However, the publisher has asked for the customary Creative Commons attribution to the original publisher, authors, title, and book URI to be removed. Normally, the author and publisher would be credited here. This content was accessible as of December 29, 2012, and it was downloaded then by Andy Schmitz in an effort to preserve the availability of this book. See the license for more details, but that basically means you can share this book as long as you credit the author (but see below), don't make money from it, and do make it available to everyone else under the same terms. This book is licensed under a Creative Commons by-nc-sa 3.0 license.