Question

The length of the rectangular garden is 7m more than its breadth. If the area of the garden is 144m square find the length and breadth of the garden

Answer 1

let x be the breadth of the garden
length of the garden =x+7
area=x(x+7)
144=x^2+7x
solving quadratic we get x=9
breadth=9
and length = 16


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Answer 2

let breadth is x m
so length is (x+7)m
ATQ,

x(x+7)=144
x^2+7x-144=0
x^2+16x-9x-144=0
x(x+16)-9(x+16)=0
(x+16)(x-9)=0
x=-16,9
so breadth is 9 m and length is 16 m