MATHEMATICS HIGH SCHOOL

Polygon A is similar to polygon B the sides of polygon A are three times larger then the corresponding sides of polygon B the perimeter of polygon A is 144 what is the perimeter of polygon B ?

Answers

Answer 1
Answer:

Answer:

  • 48 units

Step-by-step explanation:

Perimeter is the sum of the side lengths

If polygon A has perimeter

  • P  = a+b+c+d for example

Then polygon B has perimeter of

  • P' = 1/3a+1/3b+1/3+1/3d = 1/3P as each side is 3 times smaller than the corresponding side

Since P = 144

  • P' = 1/3P = 1/3*144 = 48 units
Answer 2
Answer:

We can write a ratio comparing the sides of both polygons.

A:B = 3:1

Since we know that 144 is the perimeter for polygon A, we can substitute it.

144:B = 3:1

~Simplify

144 = 3B

Divide 3 to both sides

48 = B

Therefore, the perimeter of B is 48 units.

Best of Luck!

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What is the factor of 16^2-81

Answers

this is the diffiarence of two perfect squares. this should be memorised, but if not here it is

a^2-b^2=(a-b)(a+b)
so 16^2-81=16^2-9^2
so the answer is (16-9)(16+9)

Is 3 times ( pie to the 49) irrational

Answers

Yes. Any number that has pi in it (when it's simplified) is irrational.

Bret’s uncle owns a square of land that is 10 miles long on each side. is that the same as 10 mi2?

Answers

No it's not the same.

First of all, miles is used for length while mi2 is used for Area.

Second, if the length of each side is 10 miles , the total area would be 10 x 10 = 100 mi2

hope this helps

Find the indicated side of the right triangle.

Answers