According to the diagram what is the approximate perimeter of the proposed petting zoo

Option (a) is correct.

The approximate perimeter of the proposed petting zoo is 1380 ft

Step-by-step explanation:

Given : A triangle showing  proposed petting zoo with grid length = 100 ft

We have to calculate  the approximate perimeter of the proposed petting zoo.

Perimeter is defined as the sum of length of sides.

Since, the given grid length = 100 ft.

We  first name the vertices of given triangle as A, B and C.

Then the length of AB  is

Count number of box it cover so they are 5 .

So, length of AB = 5 × 100 ft = 500 ft

Similarly, the length of BC = 3 × 100 ft = 300 ft

Also Δ ABC is a right angled triangle

Pythagoras theorem states that in a right angled triangle the sum of square of base and perpendicular is equal to the square of hypotenuse.  

For the given  triangle ABC,

Substitute, we get,

Solving for AC, we have,

Rounding to nearest tens p[lace we have AC  = 580

Thus, The approximate perimeter of the proposed petting zoo is

AB +BC +AC = 500 + 300 + 580 = 1380 ft

Thus, The approximate perimeter of the proposed petting zoo is 1380 ft

mean, 40.6

step-by-step explanation: