CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

The length of a rectangle exceeds it's breadth by 7cm. If the length is decreased by 4cm and the breadth is increased by 3cm, the area of the new rectangle is the same as the area of the original rectangle. Find the length and the breadth of the original rectangle?

Open in App
Solution

B =x
L= x+7

Original Area =x×(x×7)=x^2+7x

New length =x+7-4=x+3
New breadth =x+3

New area =(x+3)(x+3)=x^2+6x+9

A2Q

=x^2+7x =x^2+6x+9
=x^2- x^2+7x=6x+9
=7x-6x=9
=x=9cm=Breadth
9+7=16cm=Length

flag
Suggest Corrections
thumbs-up
14
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon