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3 years ago

These hexagons are similar. Find the area of the larger hexagon to the nearest whole number.

Mathematics

2 answers:

Colt1911 [192]3 years ago

8 0

Answer:

169

Step-by-step explanation:

These hexagons are similar.

65/5 = x /13

x = 65 * 13 / 5

x = 169

Answer: 169

Karo-lina-s [1.5K]3 years ago

3 0

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:

$169\ m ^ 2$

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