The adjoining figure contains three squares with areas of 100, 16 and 49 lying side by side as shown. By how much should the area of the middle square be reduced in order that the total length PQ of the resulting three squares is 19 ?
A. $$\sqrt 2 $$
B. 2
C. 4
D. 12
Answer: Option D
Solution(By Examveda Team)
PQ = $$\sqrt {100} $$ + $$\sqrt {16} $$ + $$\sqrt {49} $$ = (10 + 4 + 7) = 21Side of middle square = $$\sqrt {16} $$ = 4
Reduction in PQ = (21 - 19) = 2
New side of middle square = (4 - 2) = 2
∴ Reduction in area of middle square = (42 - 22) = 12
Related Questions on Area
A. 15360 m2
B. 153600 m2
C. 30720 m2
D. 307200 m2
E. None of these
A. 2%
B. 2.02%
C. 4%
D. 4.04%
E. None of these
A. 16 cm
B. 18 cm
C. 24 cm
D. Data inadequate
E. None of these
The percentage increase in the area of a rectangle, if each of its sides is increased by 20% is:
A. 40%
B. 42%
C. 44%
D. 46%
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