Question

A rectangle and a parallelogram have equal areas. The base of the parallelogram is $20cm$ and the altitude is $6cm$. Which one of the following cannot be the ratio of dimensions of the rectangle?

• A. $7:5$
• B. $40:3$
• C. $15:2$
• D. $30:1$

Answer 1

The correct option is A $7:5$

Area of the rectangle $=$ Area of parallelogram
$=20cm\times 6m=120c{m}^2$
Now,
Ratio $=7:5$ Ratio $=40:3$
Product $=35$ Product $=120$
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Ratio $=15:2$ Ratio $=30:1$
Product $=30$ Product $=30$
$\therefore$ Ratio $=7:5$ does not match with the condition as $120$ is not divisible by $35$.