Aright triangle is shown below.

229x162

the triangle is dilated by a scale factor of 2.5 to create a new triangle. what is the perimeter of the new triangle?

a

120 cm

b

24 cm

c

60 cm

d

150 c

Skip to content# Aright triangle is shown below. 229×162 the triangle is dilated by a scale factor of 2.5 to create a new triangle. what

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229x162

the triangle is dilated by a scale factor of 2.5 to create a new triangle. what is the perimeter of the new triangle?

a

120 cm

b

24 cm

c

60 cm

d

150 c

Perimeter of the given patio is [tex](\pi+6)y + 10x +8[/tex].

Step-by-step explanation:

Let us first label the given patio using the points A, B, C, D, E and F as shown the attachment diagram.

Perimeter of given figure can be found by the following:

Perimeter of polygon ABPCDEQF + Perimeter of semi-circle with diameter as EF.

Let us mark points P and Q on sides AB and FA respectively.

These points P and Q are just opposite to point D. Please refer to attached diagram for details.

As this figure has symmetry so, sides

[tex]side\ AP =side\ FE\ i.e\ 2y\\side\ AQ =side\ BC\ i.e.\ 2y\\side\ PB =side\ CD\ i.e.\ 3x+5\\side\ QF =side\ DE\ i.e.\ 2x-1[/tex]

Perimeter of polygon APBCDEQF = AP + PB + BC + CD + DE + FQ + QA (Side EF is not on the periphery so it is excluded)

[tex]\Rightarrow 2y + (3x+5) + 2y + (3x+5) + (2x - 1) + (2x-1) + 2y\\\Rightarrow 6y + 10x + 8 ...... (1)[/tex]

Perimeter of semicircle = [tex]\pi \times radius[/tex]

Radius of semicircle is y.

[tex]\text{Perimeter of semicircle = }\pi \times y ...... (2)[/tex]

Adding equations (1) and (2):

[tex]\text{Total perimeter = }6y + 10x + 8 + \pi y \\\Rightarrow (\pi+6)y + 10x + 8[/tex]

Perimeter of the given figure is [tex](\pi+6)y + 10x +8[/tex]

[tex]The perimeter of the patio shown below is 120 feet. Develop a formula to find y in terms of x. Expla[/tex]

C is the best answer your

C is the best answer your

A

Step-by-step explanation: