Question

If the width of the frame is equal on all the sides of the square picture frame, what is the length of the side of the equilateral triangle(in cm) whose perimeter is the same as that of the outer perimeter of the frame?
1. 10cm
2. 12cm
3. 18cm
4. 24cm​

Answer 1

4) 24 cm
Side of square = 10 cm
Outer length of square = 18cm
Perimeter of square =18x4 = 72 cm
Length of each side of equilateral triangle = 72/3 = 24 cm

Answer 2

The answer to the above question is (4) 24cm.

Given:

Inner side of square frame = 10cm

Width of square frame = 4cm

To Find:

The length of one side of the equilateral triangle.

Solution:

According to the question,

Length of the inner side of the square = 10cm

Width of the square = 4cm

The total length of the outer side of the square = (10 + 4 + 4)cm

The total length of the outer side of the square = 18cm

The perimeter of the square = $(4)(side)$

The perimeter of the square = $(4)(18)$

The perimeter of the square = 72cm

Length of each side of the equilateral triangle = $Perimeter/3$

Length of each side of the equilateral triangle = $72/3$

Length of each side of the equilateral triangle = 24cm

Hence, The length of each side of the equilateral triangle is 24cm.

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