Question

Please Help! Simple Geometry!

Answer 1

Answer:

A     32.1

Step-by-step explanation:

Given two points $(x_{1} ,y_{1} ) and (x_{2} ,y_{2})$)

distance between to points = d = $\sqrt{(x_{2} - x_{1} )^{2} + (y_{2} - y_{1} )^{2} }$

Now B is (-4,5) and A is (2,0)

So AB = $\sqrt{(-4-2)^{2} +(5-0)^{2} } = \sqrt{36 + 25} = \sqrt{61\\} = 7.810...$

C is (4,10)

So BC = $\sqrt{(-4-4)^{2} +(5-10)^{2} } =\sqrt{64 + 25) } =\sqrt{89} =9.433...$

D is (8,7)

So CD = $\sqrt{(4-8)^{2} +(10-7)^{2} } =\sqrt{16 + 9} = \sqrt{25} = 5$

E is (4,5)

So DE = $\sqrt{(8-4)^{2} + (7-5)^{2} } = \sqrt{16 + 4} = \sqrt{20} = 4.472...$

and AE = $\sqrt{(4-2)^2 + (5-0)^2} =\sqrt{4+25} = \sqrt{29} = 5.385...$

Perimeter = 7.810 + 9.433 + 5 + 4.472 + 5.385 = 32.1