Question

(1) What will be the effect on the area of a square, if the side of square will :
(b) be doubled
(a) be half
(c) be trippled.

(2) What will be the effect on the area of a rectangle, if:
(a) The length will be same and the breadth will be doubled?
b) The length will be doubled and the breadth will be same?
c) The length and breadth will be doubled​

Answer 1

Step-by-step explanation with answers (attached):

1. a) doubled:

Take side $x = 20cm$

Original Area = $x*x = 20*20 = 400cm$².

Take side $y =40 cm$

Answer: Doubled Area = $y*y = 40*40 = 1600cm$².

b) halved:

Take side $x= 20cm$.

Original Area = $x*x = 20*20 = 400cm$².

Take side $y = 10 cm$

Answer: Halved Area = $y*y = 10*10 = 100cm$².

c) tripled:

Take side $x=20cm$.

Original Area = $x*x = 20*20 = 400cm$².

Take side $y= 60cm$.

Answer: Tripled Area = $y*y = 60*60 = 3600cm$².

2. a) Take $a = 4 cm, b= 2cm.$

Original Area = $a*b = 4*2 = 8cm$².

Take $y = 4cm, z= 8cm$.

Answer: Length same, breadth doubled = $y*z = 4*8 = 32cm$².

b) Take $a =4cm, b=2cm$.

Original Area = $a*b = 4*2 = 8cm$².

Take $y = 8cm, z= 2cm$.

Answer: Length doubled, breadth same = $y*z = 8*2 = 16cm$².

c) Take $a = 4 cm, b=2cm.$

Original Area = $a*b = 4*2 = 8cm$².

Take $y= 8cm, z = 4cm$.

Answer: Length doubled, breadth doubled = $y*z = 8*4 = 32cm$².

By,

TheBrainSolver.

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