Question

Find the difference between the perimeter of a square of side
(2x + 3y) cm and an equilateral triangle of side 4y cm.​

Answer 1

Perimeter of square = 4*(2x+3y)
= 8x+12y

Perimeter of an equilateral triangle = 3*(4y)
= 12y

Difference b/w the perimeters of both = 8x + 12y - 12y
= 8x

Hope it helps, if you still have any queries, comment it.

Answer 2

Given :-

• side of square = (2x + 3y) cm
• side of equilateral triangle = 4y cm

To Find :-

• difference between the perimeter of square and perimeter of equilateral triangle ?

Solution :-

we know that;

$\boxed{ \bold{perimeter \: of \: square = 4 \times side}}$

$\bold{: \implies 4 \times (2x + 3y)} \\ \\ \bold{ : \implies 8x + 12y } \: \: \: \: \: \: \: \: \:$

so, perimeter of the square is (8x + 12y)cm

now, we know that;

$\boxed{ \bold{area \: of \: equilateral \: \triangle \: =3 \times side }}$

$\bold{ : \implies 3 \times (4y) } \\ \\ \bold{: \implies 12y } \: \: \: \: \: \: \: \:$

so, area of the equilateral triangle is 12y cm

now, difference between their perimeters

• 8x + 12y - 12y = 8x cm

hence, difference between perimeter of square and equilateral triangle is 8x cm