Question

The perimeter of a rectangle is equal to perimeter of square of area 36 cm². The breadth of the
rectangle is 4 cm. What is the length and area of the rectangle?​

Answer 1

Step-by-step explanation:

Find the length of the square:

Area = length²

length² = Area

length² = 36

length = √36

length = 6 cm

Find the perimeter of the square:

Perimeter = 4 x 6 = 24 cm

Find the perimeter of the rectangle:

Perimeter of the rectangle = Perimeter of the square

Perimeter of the rectangle = 24 cm

Define the length and breadth of the rectangle:

Let the breadth be x

The length is 2x

Form the equation:

Perimeter = 2(Length + breadth)

24 = 2( 2x + x)

24 = 2(3x)

24 = 6x

6x = 24

x = 4

Find the length and breadth of the rectangle:

breadth = x = 4 cm

length - 2x = 2(4) = 8 cm

Answer: The dimension of the rectangle is 4 cm by 8 cm

✨HOPE IT HELPS ✨

Answer 2

Answer:

Perimeter of square=4xside

=4x36

=144²

Perimeter of Rectangle = 2x(Length+Breadth)

=2x(? +4)

=2x4

=8²

Hence ,

The area is 8 cm²