Question

The length of a rectangle is 10cm more than its breadth.its area is 144 sq.cm.find its length and breadth?​

Answer 1

Answer:

length= 18

breadth= 8

Step-by-step explanation:

let breadth of rectangle be x

then it's length be x+10

area of rectangle = L×B

144 = x × (x+10)

144 = x² + 10x

x² + 10x = 144

x² + (18-8)x = 144

x² + 18x - 8x -144 = 0

x (x+18) -8 (x+18)=0

(x+18) (x-8) = 0

So,

x-8=0

x = 8

Answer 2

Answer:

Answer:18,8

Step-by-step explanation

let breadth = x ,length= x + 10area =

144x (x + 10) = 144x^2 + 10x - 144 = 0x^2

+ 18x - 8x - 144 = 0x(x + 18) - 8(x + 18) =

0x = -18,8 neglect -18 so x

=8breadth=8cm,length= 8+10 = 18cm

Answer is 18 cm