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Chapter 11: Q32. (page 427)

The lengths of the sides of three squares ares,(s+1),&(s+2).If their total area is365cm2, find their total perimeter.

Short Answer

Expert verified

The total perimeter.P=132cm

Step by step solution

01

Step 1. Given information.

The length of the sides of three squares iss,s+1,s+2 .

Total areaA=365cm2

02

Step 2. Concept  Used.

The area of the square is
A=(side)2

03

Step 3. Let’s calculate the area of each square and the value of s.

According to the given sides of the squares ares,s+1,s+2

The side of first square=s

Area=s2

The side of second square=s+1

Area=(s+1)2

The side of third square=s+2

Area=(s+2)2

Now,

Total area is;

365=s2Invalid <m:msup> elementInvalid <m:msup> element++365=s2+s2+1+2s+s2+4+4s365=3s2+6s+5

Solve this quadratic equation.

3s2+6s鈭�360=0(s鈭�10)(s+12)=0s=10

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