The sides of two similar hexagons are in a ratio of 3:7. The area of the smaller hexagon is 36in2. Find the area of the larger hexagon.

The area of the larger hexagon is 196 in²

Step-by-step explanation:

Area of a regular hexagon is given as;

where;

a is side of the hexagon

Given the area of the smaller hexagon as 36in², we now determine the side of this smaller hexagon.

A = (2.59808)a²

a² = A /  (2.59808)

a² = 36in² / (2.59808)

a² = 13.8564 in²

a = √ 13.8564 in²

a = 3.7224 in

let the side of the larger hexagon = b

Given the ratio of the sides of  small to large hexagon as 3:7,

a:b = 3:7

Now, with the side of the larger hexagon known, we calculate its area.

A = (2.59808)b²

A = (2.59808)(8.6856)²

A = 196 in²

Therefore, the area of the larger hexagon is 196 in²

step-by-step explanation:

$4034.40

the perimeter of the field is the sum of the lengths of the four sides:

47 yd + 158 yd + 47 yd + 158 yd = 410 yd

the cost of 3 ft (1 yd) of fence is 3×$3.28 = $9.84.

so the cost of jake's wood perimeter fance is

(410 yd) × ($9.84 /yd) = $4034.40