Question

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

Answer 1

I’d say 1380 definitely not 800 or 580

Answer 2

Answer:

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,

$(AC)^2=(AB)^2+(BC)^2$

Substitute, we get,

$(AC)^2=(500)^2+(300)^2$

Solving for AC, we have,

$(AC)=\sqrt{(500)^2+(300)^2}$

$(AC)=583.09$

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