Question

The lengths of the bases of two rectangles are $b_{1}and{b}_2$
and the lengths of their heights are $h_{1}and{h}_2$ respectively. If both the rectangles are lying between the same parallels, then the ratio of their areas is

• A. $\frac{b_1^2}{b_2^2}$
  
• B. $\frac{h_1}{h_2}$
  
• C. $\frac{\sqrt{b_1}}{\sqrt{b_2}}$
  
• D. $\frac{b_1}{b_2}$
  

Answer 1

The correct option is D $\frac{b_1}{b_2}$


Let ABCD and EFGH be the two rectangles lying between the same parallels.

Let the base and height of ABCD be $b_{1}and{h}_1$ respectively and the base and height of EFGH be $b_{2}and{h}_2$ respectively.

Both rectangles are lying between the same parallels.

$\therefore h_1=h_2=h\left(say\right)$

Now, area of rectangle $ABCD=b_1{h}_1=b_{1}h$
and, area of rectangle $EFGH=b_2{h}_2=b_{2}h\therefore \text{Ratio of their areas}=\frac{b_{1}h}{b_{2}h}=\frac{b_1}{b_2}$

Hence, the correct answer is option (d).