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

Give possible expressions for the length and breadth of each of the following rectangles, in which their areas are given :
(i) Area : 25a235a+12
(ii) Area : 35y2+13y12

Open in App
Solution

(i) Area=25a235a+12
25a215a20a+12
5a(5a3)4(5a3)
(5a3)(5a4)
Hence, Area=(5a3)(5a4)
We know, Area=Length×breadth
Hence, there are two possibilities
Case1:Length=(5a3) and Breadth=(5a4)
Case2:Length=(5a4) and Breadth=(5a3)

(ii) Area=35y2+13y12
35y2+28y15y12
7y(5y+4)3(5y+4)
(5y+4)(7y3)
Hence, Area=(5y+4)(7y3)
We know, Area=Length×breadth
Hence, there are two possibilities
Case1:Length=(5y+4) and Breadth=(7y3)
Case2:Length=(7y3) and Breadth=(5y+4)

flag
Suggest Corrections
thumbs-up
12
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Method of Common Factors
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon