Question

If breadths of two rectangles are same, then the ratio of their areas and ratio of their lengths will be ____.

• A. same
• B. equivalent
• C. not equivalent
• D. $1:1$ and $1:1$

Answer 1

The correct option is B equivalent

Area of rectangle $=$ Length $\times$ breadth
$\therefore$ $\frac{A_1}{A_2}$ $=$ $\frac{l_1\times b_1}{l_2\times b_2}$
As per given condition
$b_1$ = $b_2$
$\therefore$ $\frac{A_1}{A_2}$ $=$ $\frac{l_1\times b}{l_2\times b}$ $=$ $\frac{l_1}{l_2}$
$\therefore$ Ratios of areas and ratio of lengths of rectangles are equivalent.