Question

the length of a rectangle is 4 cm more than its breadth if each side is increased by 4 cm the area would increase by 56 cm.sq.find the dimensions of the original rectangle​

Answer 1

Answer:length=7 cm

breadth=3 cm

Step-by-step explanation:

in the first case,

let breadth of the rectangle be x cm

so, length= x+4 cm

area = length x breadth= x(x+4)=x^2+4x

in the second case,

length=x+4+4= x +8 cm

breadth=x+4 cm

area=(x+8)(x+4)=x^2+4x+8x+32=x^2+12x+32

according to the question,

x^2+12x+32=x^2+4x+56

=12x+32=4x+56

=12x-4x=56-32

=8x=24

therefore, x=24/8=3

length of the original rectangle=x+4=3+4=7 cm

breadth of the original rectangle =x=3 cm

Answer 2

Answer:

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Step-by-step explanation:

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