Two blueberry farms are similar in shape. The ratio of the side lengths of the farms is 4 : 5, and the smaller farm has a perimeter of 360 yards. What is the perimeter of the larger blueberry farm?

450 yards

Step-by-step explanation:

From the question, we are informed that two blueberry farms are similar in shape and that the ratio of the side lengths of the farms is 4 : 5, and the smaller farm has a perimeter of 360 yards.

Since the smaller side which is denoted by 4 has a perimeter of 360, we divide 360 by 4 and then multiply the answer by 5 to get the perimeter of the larger blueberry farms. This will be:

= 360/4 × 5

= 90 × 5

= 450 yards

.5 lb

step-by-step explanation:

12 in / 6 in =2 in

.25 x 2 = .5 lb

there are lots of ways.   pick's theorem tells us if the vertices are lattice points the area a is

a = b/2 + i - 1

where b is the number of boundary lattice points and i is the number of interior lattice points.

in the figure i count b=16, i=50 so

a = 8 + 50 - 1 = 57

let's try the shoelace formula.   the area is half the sum of the cross products of the sides.  

a(-2,6)   -2(2)-6(-5) = 26

b(-5,2)   -5(-3) - 2(-2) = 19

c(-2,-3) -2(-3) - (-3)(4) = 18

d(4,-3)   4(3) - (-3)(5) = 27

e(5,3)   5(3) - 3(1) = 12

f(1,3)     1(6) - 3(-2) = 12

a(-2,6)

each of the cross products is twice the area of the triangle with the associated side and one vertex the origin. so the area of abo=26/2=13.

area = (1/2) (26 + 19 +   18 + 27 + 12 + 12) = 57

that checks!