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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 10: Q 10.78 (page 1200)

If a triangle that has an area of 110 square feet has a height that is two feet less than twice the width ,what are its dimensions .

Short Answer

Expert verified

The Height of a triangle is 22 feet and width of a triangle is 11 feet.

Step by step solution

01

Given information

The given statement is ,feet has a height that is two feet less than twice the width

Area of a triangle is 110 square feet.

02

Simplification of the equation

feet = $2 b - 2$

width = b

Area of a triangle is 110.

Area of a triangle = $\frac{1}{2} 脳 b 脳 h$

role="math" localid="1648574441164" $110 = \frac{1}{2} 脳 (2 b - 2) (b) S i m p l i f y 110 = (b - 1) (b) 110 = b^{2} - b b^{2} - b - 110 = 0 x = 1, y = - 1, z = - 110 b = \frac{- y 卤 \sqrt{y^{2} - 4 x z}}{2 x} b = \frac{- (- 1) 卤 \sqrt{- 1^{2} - 4 (1)} (- 110)}{2} b = \frac{1 卤 \sqrt{1 + 440}}{2} b = \frac{1 + 21}{2}, \frac{1 - 21}{2} b = 11, - 10 (n o t p o s s i b l e) H e i g h t i s 22 f e e t . W i d t h i s 11 f e e t .$

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