The perimeter of a square and an equilateral triangle add up to 77 cm. Both figures have
sides of the same length. How long is each side?

Length of each side = 11 cm

Solution:

Let a be the side of the square.

Side length of square = Side length of equilateral triangle

Therefore, side length of equilateral triangle = a

Perimeter of the square = Number of sides × side

                                        = 4 × a

Perimeter of the square = 4a

Perimeter of the equilateral triangle = Number of sides × side

                                                            = 3 × a

Perimeter of the equilateral triangle = 3a

Sum of the perimeter of a square and equilateral triangle = 77 cm

⇒ 4a + 3a = 77

⇒ 7a = 77

Divide by 7 on both sides of the equation, we get

⇒ a = 11 cm

Length of each side = 11 cm.

the answer is 200

step-by-step explanation:

the way the question is worded, it seems to imply the $264 interest is simple interest, not compound interest.

the simple interest for 2 years is $264; the simple interest for 1 year is $132.

$132 interest on a $600 investment means an interest rate of (132/600)*100 = 22%.

the value of $200 at 22% interest compounded annually for three years is

200%281.22%29%5e3

the amount of interest is that value, minus the original $200.