Question

These hexagons are similar. Find the area of the larger hexagon to the nearest whole number.
Answer options: 439, 263, 130, 169

Answer 1

Answer:

169

Step-by-step explanation:

These hexagons are similar.

So

65/5 = x /13

x = 65 * 13 / 5

x = 169

Answer: 169

Answer 2

For this case we have that both hexagons are similar, so the following relationship is fulfilled:

$\frac {A_ {1}} {l_ {1}} =\frac {A_ {2}} {l_ {2}}$

$A_ {1} \ and \ {l_ {1}$correspond to the area and side of the largest hexagon

Substituting:

$\frac {A_ {1}} {13} = \frac {65} {5}\\A_ {1} = \frac {65 * 13} {5}\\A_ {1} = 169$

Thus, the area of the large hexagon is $169 \ m ^ 2$

Answer:

$169\ m ^ 2$