Question

The area of a rectangle is 4 times the area of a square. The area of the square is 729 sq cm and the length of the rectangle is 81 cm. What is the difference between the side of the square and the breadth of the rectangle?
(a) 18 cm
(b) 27 cm
(c) 24 cm
(d) 9 cm
(e) None of these

Answer 1

1. ok so here is what i got for you
2. According to the question,
3. Area of rectangle = 4×729
4. => 81×B=4×729
5. Therefore, B=4×9=36 cm
6. Area of square = 729
7. => a2=729 [a=side]
8. => a=729−−−√=27
9. Therefore, Required difference = B - a
10. = 36 - 27 = 9 cm

Answer 2

side of square =27cm
area of rectangle=2916cm²
area of rectangle=l×b
=81×b=2916
b=36 cm
diff.=36-27
=9
option d).9 cm