Question

The length of a rectangle is twice its breath. If the ratio of the perimeter of the rectangle and its area is 1:2, find the dimensions of the rectangle.​

Answer 1

Step-by-step explanation:

2x,x are the dimensions of the rectangle

the perimeter of the recangle=2(l+b)

the area of the rectangle=l×b

2(l+b)/lb=1/2

2(x+2x)/2x×x=1/2

2(3x)/2x^2=1/2

6x/2x^2=1/2

3/x=1/2

x=2×3=6

length=2x=2(6)=12

breadth=x=6

the dimensions of the rectangle is 6,12