Question

Which of the following figures have maximum shaded area?

• A. (i)
• B. (ii)
• C. (iii)
• D. Can't be determined

Answer 1

Answer: (B)

(ii)

We have divided area of the following figures as given above

(i) Area of A $\to$ ($8$$\times$$1$) $\to$ $8$

Area of B $\to$ ($9$$\times$$2$) $\to$ $18$

Total Area of (i) $\to$ $8$ + $18$ $\to$ $26$

(ii) Area of A $\to$ ($2$$\times$$12$) $\to$ $24$

Area of B $\to$ ($7$$\times$$1.5$) $\to$ $10.5$

Area of C $\to$ ($9$$\times$$1$) $\to$ $9$

Total Area of (ii) $\to$ $10.5$ + $24$ + $9$$\to$ $43.5$

(iii) Area of A $\to$ ($10$X$1.5$) $\to$ $15$

Area of B $\to$ ($9$$\times$$2$) $\to$ $18$

Total Area of (iii) $\to$ $15$ + $18$ $\to$ $33$

Area(ii) $>$ Area(iii) $>$ Area(i)

Hence, (ii) has maximum area.