Q. 346 A rectangular retaining wall has... [FREE SOLUTION]

91影视

Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 7: Q. 346 (page 893)

A rectangular retaining wall has area 15 square feet. The height of the wall is two feet less than its length. Find the height and the length of the wall.

Short Answer

Expert verified

$T h e h e i g h t o f t h e w a l l i s 3 f t . T h e l e n g t h o f t h e w a l l i s 5 f t .$

Step by step solution

Step 1. Given Information.

$A r e a o f r e c \tan g u l a r w a l l i s 15 s q f t . H e i g h t o f t h e w a l l i s t w o l e s s t h a n l e n g t h .$

Step 2. Factorization.

$L e t t h e l e n g t h o f t h e w a l l b e x f t . n o w, A c c o r d i n g t o t h e g i v e n i n f o r m a t i o n H e i g h t w i l l b e = (x - 2) f t T h u s, \sin c e A r e a = 15 s q f t . t h e r e f o r e, x (x - 2) = 15 x^{2} - 2 x = 15 x^{2} - 2 x - 15 = 0 x^{2} - 5 x + 3 x - 15 = 0 x (x - 5) + 3 (x - 5) = 0 (x + 3) (x - 5) = 0$

Step 3. Final Values.

$F o l l o w i n g a r e t h e v a l u e s a f t e r f a c t o r i z a t i o n (x + 3) (x - 5) = 0 t h u s, x + 3 = 0 x = - 3 a n d x - 5 = 0 x = 5 T h e r e f o r e, x - 2 = 5 - 2 = 3 l e n g t h o f t h e w a l l i s 5 f t . h e i g h t o f t h e w a l l i s 3 f t .$

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91影视

A rectangular retaining wall has area 15 square feet. The height of the wall is two feet less than its length. Find the height and the length of the wall.

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Factorization.

Step 3. Final Values.

One App. One Place for Learning.

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