Question

1) Знайдіть периметр прямокутника, сторони якого відносяться як 2:5 , а площа дорівнює 250 см.кв .

Answer 1

Ответ:

70 см

Объяснение:

Answer 2

одна сторона 2х, другая 5х, х- коэффициент пропорциональности. x>0,

2х*5х=250, х=√(250/10)=5, тогда одна сторона 2*5=10/см/, а другая  5*5=25/см/

Answer 3

Finding the Perimeter of a Rectangle

To find the perimeter of a rectangle, we need to know the lengths of its sides. In this case, we are given that the sides of the rectangle are in a ratio of 2:5 and that the area of the rectangle is 250 cm².

Let's denote the shorter side of the rectangle as 2x and the longer side as 5x, where x is a common factor. We can use this information to find the value of x.

The formula for the area of a rectangle is length multiplied by width. In this case, the area is given as 250 cm², so we can set up the equation:

(2x) * (5x) = 250

Simplifying the equation, we have:

10x² = 250

Dividing both sides of the equation by 10, we get:

x² = 25

Taking the square root of both sides, we find:

x = 5

Now that we know the value of x, we can find the lengths of the sides of the rectangle:

Shorter side = 2x = 2 * 5 = 10 cm Longer side = 5x = 5 * 5 = 25 cm

To find the perimeter of the rectangle, we add up the lengths of all four sides:

Perimeter = 2 * (shorter side + longer side) = 2 * (10 + 25) = 2 * 35 = 70 cm

Therefore, the perimeter of the rectangle is 70 cm.