Question

The ratio of the areas of two rectangle is 3 to 7. In the area of the large rectangle is 84 square feet, what is the area of the smaller rectangle?

A. Define the unknown variable


B. Set up a proportion that represents the problem and solve it.


C. Is the ratio of two rectangles room 3 to 7, is it possible for the area of the smaller rectangle to be 15 square feet and the area of the larger rectangle to be 28 square feet? Explain why or why not




Please help I have 3 accounts I will thank you

Answer 1

A. The unknown variable is the area of the smaller rectangle.

B. 3/7=x/84

$\frac{3}{7}=\frac{x}{84}\\\frac{3*12}{7*12}=\frac{x}{84}\\\frac{36}{84}=\frac{x}{84}\\\frac{36}{84}*84=\frac{x}{84}*84\\36=x$

C. No. 12 does not equal 15.

$\frac{3}{7} \neq \frac{15}{28}\\\frac{3*4}{7*4}\neq\frac{15}{28}\\\frac{12}{28}\neq\frac{15}{28}\\\frac{12}{28}*28\neq\frac{15}{28}*28\\12\neq15$