A 15-foot ladder is leaning against a wall. if the height of the top portion of the ladder from the ground is 3 feet longer than  the distance of the base of the ladder from the wall, how high is the top portion of the ladder from the ground?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter8: Polynomials
Section8.4: Special Products
Problem 65PFA
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Solve the following problem using the knowledge of polynomial equations.

1. A 15-foot ladder is leaning against a wall. if the height of the top portion of the ladder from the ground is 3 feet longer than  the distance of the base of the ladder from the wall, how high is the top portion of the ladder from the ground?

2. The length of a rectangular garage is 11 meters more than its width. The area of the rectangular garage is 2,040 square meters. Find the dimensions of the garage. 

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