Question

*The length of one side of the rectangle is twice the length of its adjacent side. If the
perimeter of rectangle is 60 cms, find the area of the rectangle.

Answer 1

Given: Length of the rectangle is twice the length of its breadth and the perimeter is 60cm.

To find: The area.

Answer:

Let the breadth be x.

Therefore length = 2x (Since length is twice the breadth)

Formula to find perimeter:

Perimeter = 2(Length + Breadth)

Substituting the given values,

60 = 2(2x + x)

60 = 2*3x

60 = 6x

x = 60/6

x = 10cm

Therefore length = 2*10 = 20.

Formula to find area:

Area = Length*Breadth

Substituting the given values,

Area = 20*10

Area = 200cm^2

Hope it helps :)

Answer 2

let the breath of rectangle be a
then length of rectangle be 2a

perimeter of rectangle = 2 (l+b )
60 = 2 (2a + a )
60/2 = 3a
30 = 3a
30/3 = a
a= 10 cm

length of rectangle = 2a= 2(10) = 20cm
breath of rectangle = a = 10 cm

area of rectangle= l × b
= 20× 10
= 200 cm ^2

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