Question

1) The length of a rectangle is 3 cm more than its
breadth. Find the length and breadth if its area
is 180 sq.cm.​

Answer 1

Step-by-step explanation:

Let the breadth of the rectangle = x cm

Then length will be x + 3 cm

Area = x ( x + 3) cm

As per question area = 180 sq cm

So x ( x +3) = 180

x^2 + 3x - 180 = 0

x^2 + 15x - 12x - 180 = 0

x ( x+ 15) - 12 ( x +15) = 0

( x +15) ( x -12) = 0

So x = 12

Hence the breadth of the rectangle will be 12 cm

Answer 2

Answer:

Let the breadth of the rectangle = x cm

Then length will be x + 3 cm

Area = x ( x + 3) cm

As per question area = 180 sq cm

So x ( x +3) = 180

x^2 + 3x - 180 = 0

x^2 + 15x - 12x - 180 = 0

x ( x+ 15) - 12 ( x +15) = 0

( x +15) ( x -12) = 0

So x = 12

Hence the breadth of the rectangle will be 12 cm.

so length will be x+3 that is 12+3 =15cm