An equilateral triangle and a square have equal perimeters. If side of the triangle is $9.6 c m$ ; what is the length of the side of the square?

Open in App

Solution

Let the side of the equilateral triangle be $s$
And the side of the square be $a$
We know that,
Perimeter of the triangle $= 3 s$
and Perimeter of the square $= 4 a$
Given that the triangle and the square have the same perimeter and $s = 8$
$\Rightarrow 3 s = 4 a$
$\Rightarrow 3 \times 9.6 = 4 a$
$a = 7.2$

Suggest Corrections

Similar questions

Q. An equilateral triangle and a square have equal perimeters. If side of the triangle is

9.6 c m

; what is the length of the side of the square ?

Q. A square and an equilateral triangle have equal perimeters .If the area of the triangle is

16 \sqrt{3} c m^{2}

,the side of the square is

Q. The perimeter of a square and an equilateral triangle are equal. If the length of side of equilateral triangle is 4 cm more than that of the square, then find the perimeter of the square.

The area of a square is 16 $m^{2}$ . If the side of the square is equal to the side of an equilateral triangle, then find the perimeter of the triangle.
[2 MARKS]

Q. A square and an equilateral triangle have same perimeters. If diagonal of square is

12 \sqrt{2} c m

, then side of traingle is ______.

Join BYJU'S Learning Program

An equilateral triangle and a square have equal perimeters. If side of the triangle is 9.6 cm; what is the length of the side of the square?

Let the side of the equilateral triangle be sAnd the side of the square be aWe know that,Perimeter of the triangle=3sand Perimeter of the square =4aGiven that the triangle and the square have the same perimeter and s=8⇒3s=4a⇒3×9.6=4aa=7.2

An equilateral triangle and a square have equal perimeters. If side of the triangle is $9.6 c m$ ; what is the length of the side of the square?