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Chapter 2: Q. 605 (page 296)

In the following exercises, solve.

Use the formula A=12bh to solve for h 鈸� when A = 153 andb = 18 鈸� in general

Short Answer

Expert verified

a.Thesimplifiedvalueish=17

b.Thegeneralfromish=2脳Ab

Step by step solution

01

Step 1. Given information

The given equation is A=12bh

We have to solve for h 鈸� when A = 153 andb = 18 鈸� in general

02

Step 2. Explanation

Solve;A=12bh鈬�153=12(18)h(SubsitutethevalueofAandb)鈬�153=9h(Simplify)鈬�1539=9h9(Dividebothsideby9)鈬�17=h(Simplify)Thesimplifiedvalueish=17

03

Part b. Step 3. Explanation

Ingeneral鈬�A=12bh鈬�Ab=12bhb(Dvidebothsidebybtoisolateh)鈬�Ab=12h(Simplify)鈬�2脳Ab=2脳12h(Multiplybothsideby2)鈬�2脳Ab=h(Simplify)Thegeneralfromish=2脳Ab

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