You have fencing material enough for a 100-yard fence. In what shape would you build the fence to get the maximum area? Why? Your answer is: (1) shape (one word); (2) Reason why you have selected this particular shape (one sentence). Possible shapes: romboid, parallelogram, triangle, pentagon, square, circle, hexagon, etc.

1.) Circle

2.) It gives the maximum area among others

Step-by-step explanation:

Given that the fencing material = 100 yard. That means circumference = 100

Circumference of a circle = 2πr

100 =  2πr

r = 50/ π

Area of a circle = πr^2

Area of a circle =  π × (50/π)^2

= 2500/ π

= 795.77 squared yard

If the area of Pentagon is calculated, we will get 688 squared yard.

Also, if the area hexagon is calculated, we will get 716 square yard

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

total amount of money that he should pay if he has not used his duty free exemption is $98

step-by-step explanation:

given a united states citizen returning to the states declares the following items at the customs office: 3 shirts at $8.50 each 2 dresses at $27.50 each 1 pair of gold cuff links at $17.50 per pair. we have to find how much he pay

cost of 3 shirts if one cost at $8.50 is

cost of 2 dresses if one cost at $27.50 is  

cost of 1 pair of gold cuff at $17.50

so, total amount of money that he should pay if he has not used his duty free exemption is   $25.5+$55+$17.50=$98