The perimeter of a rectangle is 80 cm. The length is 2/5 of the perimeter. Find its breadth.
perimeter = 2 length + 2 breadth
80 = (2 * 32) + 2 breadth
80 = 64 + 2 breadth
16 = 2 breadth ... 8 = breadth
Thx!!
To find the breadth of the rectangle, we can start by finding the length of the rectangle.
Given that the perimeter of the rectangle is 80 cm, we can use the formula for the perimeter of a rectangle: P = 2(l + w), where P is the perimeter, l is the length, and w is the width (breadth).
Substituting the given information into the equation, we have:
80 = 2(l + w)
Dividing both sides of the equation by 2, we get:
40 = l + w
Since the length is 2/5 of the perimeter, we can substitute l with (2/5)P:
40 = (2/5)P + w
To isolate w, we can subtract (2/5)P from both sides of the equation:
w = 40 - (2/5)P
Now we can substitute the value of P into the equation:
w = 40 - (2/5)(80)
Simplifying the equation further, we have:
w = 40 - (2/5)(80)
w = 40 - (2/5)(160/2)
w = 40 - (2/5)(80)
w = 40 - (2/5)(40)
w = 40 - (2)(8)
w = 40 - 16
w = 24
Therefore, the breadth of the rectangle is 24 cm.