Question

# In rectangle ABCD, the area of the shaded region is given by πlw4. If the area of the shaded region is 7π, what is the total area, to the nearest whole number, of the unshaded regions of rectangular ABCD?

A
4
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
6
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
8
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
9
No worries! We‘ve got your back. Try BYJU‘S free classes today!
E
10
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

## The correct option is B 6From the given figure,Area of the rectangle ABCD = Length × Width= BC × AB= l × w= lwGiven, area of the shaded region is given by πlw4.Area of the shaded region = 7π⇒πlw4 = 7πWe need ′lw′ in ′LHS′. Rearranging the terms, we get lw = 7π × 4π⇒lw = 7 × 4⇒lw= 28⇒lw = 28To find total area of the unshaded regions,From the given figure, total area of the unshaded regions = (Area of the rectangle ABCD) − (Area of the shaded region)= (lw) − 7π= 28 − 7π= 28 − 22.001= 5.999= 6Therefore, Total area of the unshaded regions = ′6′.

Suggest Corrections
0
Related Videos
Conversion of Units
MATHEMATICS
Watch in App
Explore more