Question

24) A rectangle is 24 cm long and 16 cm wide. The length and width are reduced and increased by 'X' cms respectively so as to make it a square.
Quantity:
M: Area of Square - Area of Rectangle Quantity
N: 2x
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Answer 1

Answer:

Given  

Length of rectangle l=10 cm and  

Breadth of rectangle b=8 cm  

Perimeter =2 (Length + Breadth)

=2(10+8) cm  

=2×18  

=36 cm  

If each side of the rectangle is increased by x cm , then ,  

Perimeter =2(10+x+8+x)  

=2(18+2x)  

=(36+4x) cm  

According to the given condition,  

36+4x=2(36)  

36+4x=72  

4x=72−36  

4x=36  

x=  

4

36

​  

 

We get ,  

x=9  

Hence ,  

Length of new rectangle =1+x=10+9=19 cm and  

Breadth of new rectangle =b+x=8+9=17 cm  

Area = Length × Breadth =19×17cm  

2

=323cm  

2

 

Explanation:

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