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An equilateral triangle is drawn inside a rectangle such that the base of the triangle
exactly coincides with the length of the rectangle.
(Not to scale)
W cm
1
L cm
2
3
The perimeter of the equilateral triangle is 18 cm. Also, the sum of the perimeters of all
the three triangles is 46.4 cm.
What is the width of the rectangle?

Question

Answered

Answer :

yogeshkumar49685 yogeshkumar49685 · Answer 1 · 2022-08-31T08:29:25-04:00

If the perimeter of the equilateral triangle is 18 cm then the width of the rectangle be 11.2 cm.

Given that the perimeter of the equilateral triangle be 18 cm and the perimeter of all the three triangles be 46.4 cm.

We are required to find the width of the rectangle.

Rectangle is basically the shape which is having opposite sides equal to each other.

Perimeter of equilateral triangle=3 *side

3* side=18

side=18/3

side=6

Since it is on the length of the rectangle so the length of rectangle be

6 cm.

Perimeter of all the three triangles=2*width of the rectangle+1 length+perimeter of 1 equilateral triangle.

T1 and T2 are the other triangles.

Suppose the width of the rectangle be x.

Perimeter=2*x+6+18

46.4=2x+24

2x=46.4-24

2x=22.4

x=11.2

So,the width of the rectangle is equal to 11.2 cm.

Hence if the perimeter of the equilateral triangle is 18 cm then the width of the rectangle be 11.2 cm.

Learn more about perimeter at https://brainly.com/question/19819849

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