Question

14) The length of a rectangle is greater than the breadth by 3 cm. If the length
increased by 9 cm and the breadth is reduced by 5 cm. the area remains the same
Find the dimensions of the rectangle.
T​

Answer 1

Answer:

length=18cm breadth = 15cm

Step-by-step explanation:

given,

breadth of rectangle = xcm

length of rectangle = x + 3 cm

area of the rectangle = lb

= x(x+3)

=x^2+3x

if the length of the rectangle increased by 9cm = x + 3 + 9

= x+12

breadth reduced by 5cm = x-5

area = (x+12)(x-5)

= x(x-5)+12(x-5)

= x^2-5x+12x-60

= x^2+7x- 60

given both have equal areas

x^2 +3x=x^2+7x-60

60=7x-3x

60=4x

x= 60/4

x=15

length = x+3=15+3=18cm

breadth=x=15cm