the length of a rectangle exceeds its breadth by 4 cm if the length is exceeded by 3 cm and the breadth is exceeded by 2 cm the new area exit the original area by 79 sqCM square find the dimension of the given Rectangle.please answer please please please
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Answer:
l=17cm,b=13cm
step by step explanation
let the recangle length be 'l' and breadth be 'b'
givenzlength exceeds breadth by 4 l=b+4
area of original rectangle is (b+4)(b)
if length exceeds by 3cm,breadth exceeds by 2cm,new rectangle area obtained minus original area is 79cm^2
(l+3)(b+2)-(b+4)b=79
but l=b+4 hence,
(b+4+3)(b+2)-b^2-4b=79
(b+7)(b+2)-b^2-4b=79
b^2+2b+7b+14-b^2-4b=79
2b+7b-4b=79-14
5b=65
b=13cm
hence l=b+4=13+4=17cm
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