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the length of a rectangle is twice its breadth,if the perimeter is 72 metres find the length and breadth of the rectangle

Sagot :

Let length be x
Let breadth by y

Equation 1: The length of rectangle is twice its breadth.
x = 2y

Equation 2:  The perimeter is 72 meters.  P=2L + 2W

2(x) + 2y = 72

Substitute 2y for x:
2(2y) + 2y = 72
4y + 2y = 72
6y = 72

6y/6 = 72/6
y = 12

Solve for x by using Equation 1, x = 2y.
x = 2y
x = 2(12)
x = 24

The dimensions are:
Length: x= 24 meters
Breadth: y = 12 meters

To Check the Perimeter:
2(24) meters + 2(12) meters = 72  meters
48 meters + 24 meters  = 72 meters
72 meters = 72 meters