Question

The diagonal of a square is 42.5 cm. Calculate the perimeter and area of the square!​

Answer 1

Penjelasan dengan langkah-langkah:

The diagonal of a square is the hypotenuse of a right triangle where the other two sides are equal. Therefore, the diagonal can be used to find the length of one side of the square (let's call it s) using the Pythagorean theorem:

s^2 + s^2 = 42.5^2

2s^2 = 1806.25

s = √(1806.25/2) = √903.125

s = 30.125 cm

To find the perimeter of the square, we just need to multiply the length of one side by 4:

P = 4s = 4(30.125) = 120.5 cm

To find the area of the square, we just need to square the length of one side:

A = s^2 = (30.125)^2 = 912.5 cm^2