Question

Give possible expressions for the length and breadth of each of the following rectangles, in which
their areas are given:
(1) Area 25a² - 35a + 12 (2) Area - 35y² + 13y - 12​

Answer 1

Step-by-step explanation:

1. area=25a^2-35a+12

=25a^2-(20+15)a+12

=25a^2-20a-15a+12

=5a (5a-4)-3 (5a-4)

=(5a-3)(5a-4)

i.e

a=3/5 or a=4/5

in this case 4/5is length

and 3/5 is breadth

2.area= 35y^2+13y-12

=35y^2+(35-12)y-12

= 35y^2+35y-12y-12

=35y (y+1)-12(y+1)

=(35y-12)(y+1)

i.e

y=12/35 or y= -1

distance (length) cannot be negative

•°• length =1

and breath=12/35

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