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

169

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`