Question

The figures are similar. The area of one figure is given. Find the area of the other figure to the nearest whole number.

Answer 1

Answer:  Option b.

Step-by-step explanation:

First, you need to calculate the ratio of the area. This is:

$ratio=(\frac{64}{28})^2\\\\ratio=\frac{256}{49}$

You know that the area of the smaller trapezoid is 771 m², then you can set up the following proportion, where "x" is the area of the larger trapezoid. Then you have:

$\frac{256}{49}=\frac{x}{771}$

Now you must solve for "x". Therefore, you get that the area of the larger trapezoid is:

 $x=(771)(\frac{256}{49})\\\\x=4,028m^2$