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

Question 15
Give possible expressions for the length and breadth of each of the following rectangles, in which their areas are given:
Area:25a235a+12(i) Area:35y2+13y12(ii)

Open in App
Solution

Here, area is given in terms of a quadratic expression in one varaible. To find the possible length and breadth of a rectangle, we have to factorise the given expression.

(i) Area=25a235a+12 (Area=l× b)=25a220a15a+12(splitting middle term)=5a(5a4)3(5a4)=(5a4)(5a3)
So, possible answer is length = (5a-4), breadth = (5a-3) or vice versa.

(ii) Area=35y2+13y12 (Area=l× b)=35y2+28y15y12 (splitting middle term)=7y(5y+4)3(5y+4)=(5y+4)(7y3)
So, (5y + 4) may be taken as breadth and (7y - 3) as length.

flag
Suggest Corrections
thumbs-up
5
Join BYJU'S Learning Program
Join BYJU'S Learning Program
CrossIcon