Explanation The height of the triangular postage stamp is 1.0 cm more than the base b. The area of the triangular postage stamp is given by, A r e a = 1 2 b h , where b is the base and h is the height. Substitute the known values in the above formula as follows. 3 ≤ 1 2 b ( 1 + b ) 6 ≤ b + b 2 b 2 + b − 6 ≥ 0 Factor the above inequality as follows. b 2 + b − 6 ≥ 0 b ( b − 3 ) − 2 ( b + 3 ) ≥ 0 ( b − 2 ) ( b + 3 ) ≥ 0 Equating the factors to zero the critical values are obtained as follows

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Chapter 17.3, Problem 59E

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The height h of the triangular postage stamp if its area is at least 3.0 cm2.

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Chapter 17.3, Problem 58E

Chapter 17.3, Problem 60E

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Chapter 17 Solutions

EBK BASIC TECHNICAL MATHEMATICS

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The height h of the triangular postage stamp if its area is at least 3.0 cm 2 .

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The height h of the triangular postage stamp if its area is at least 3.0 cm2.

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Chapter 17 Solutions