3. Find the base of a rectangle of height 7 m and whose area is three times the length of its perimeter. 4. A 22-year-old father has a 2-year-old son. Within how long will the father's age be three times that of the son?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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3. Find the base of a rectangle of height 7 m and whose area is
three times the length of its perimeter.
4.A22-year-old father has a 2-year-old son. Within how long will
the father's age be three times that of the son?
Transcribed Image Text:段階的に解決し、 人工知能を使用せず、 優れた仕事を行います ご支援ありがとうございました SOLVE STEP BY STEP IN DIGITAL FORMAT DON'T USE AI | DON'T USE AI | DON'T USE AI | DON'T USE AI | 3. Find the base of a rectangle of height 7 m and whose area is three times the length of its perimeter. 4.A22-year-old father has a 2-year-old son. Within how long will the father's age be three times that of the son?
Expert Solution
Step 1: solution(3)

Given height of rectangle =h=7m

let base =b m

so area =base X height=b cross times 7 equals 7 b space s q. m

perimeterequals 2 cross times left parenthesis b plus h right parenthesis equals 2 cross times left parenthesis b plus 7 right parenthesis equals 2 b plus 14

Given area=three times of length of perimeter

  rightwards double arrow 7 b equals 3 cross times left parenthesis 2 b plus 14 right parenthesis
rightwards double arrow 7 b equals 6 b plus 42
rightwards double arrow b equals 42 space m

so base =42m

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