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 = 18cm

Breadth = 8cm

Step-by-step explanation:

Let the breadth of a rectangle be 'x'cm.

Then, its length = 10 + x cm

Area of a rectangle = 144 $cm^{2}$

Length * Breadth = 144 $cm^{2}$

x (10 + x) = 144

$x^{2}$ + 10x - 144 = 0

By splitting the middle term,

$x^{2}$ + 18x - 8x - 144 = 0

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

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

x =  8 (or) x = -18

We can cancel the negative value. So,

Its Breadth = 8cm

Its Length = 10 +x = 10+8

                 =18cm