Ella had two pieces of wire of equal length. She shaped one
piece into a square and the other into an equilateral triangle.
A side length of the triangle was 2 cm longer than a side length
of the square. How long is each piece of wire, in cm?

Answers

Answer 1

Each piece of wire, given the shapes that are a square and an equilateral triangle, are 24 cm long.

How to find the length ?

Since Ella used the same length of wire to make both shapes, the perimeter (total length of wire) of the square is equal to the perimeter of the triangle.

A square has four equal sides and an equilateral triangle has three equal sides.

4s = 3t

Given that the side length of the triangle is 2 cm longer than the side length of the square:

t = s + 2 (equation 2)

substitute equation 2 into equation 1:

4s = 3(s + 2)

4s = 3s + 6

4s - 3s = 6

s = 6

Substitute s = 6 into equation 2 to find t:

t = 6 + 2

t = 8

each piece of wire is:

For square: 4 * 6 = 24 cm

For triangle: 3 * 8 = 24 cm

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Related Questions

Which of the following is equal to √3 √2?

Answers

The options that are equal to the root √3/2 are options A and C.

How is this so?

Given √3/2 is the value.

To Find  -  The angles for which √3/2  is the value.

Solution  -

Sin60° = √3/2

Tan60° = √3

Cos30° = √3/2

Cos90° = 0

Hence,   is the value of Sin60° and Cos30°. Options A and C.

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Which of the following is equal to √3/2

(Select one or more answers)

Ans:

sin 60°

tan 60°

cos 30°

cos 90°

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