Question

the perimeters of a square and rectangle are equal . the area of the square is 36cm².. if the length of the rectangle is twice its breath , what are the dimensions of the rectangle?​

Answer 1

Answer:

Area of square = 36cm.2

a^2 = 36 cm.2

a = √36

So, a = 6cm.

Let the breadth of rectangle be x then length will be 2x.

A./Q.

Perimeter of square = Perimeter of rectangle

4×a = 2 (l+b)

4×6 = 2 (x+2x)

24 = 2 × 3x

3x = 12

x = 4

Now, length of the rectangle = 2x = 2×4 = 8cm.

and breadth of the rectangle = x. = 4cm.

Answer 2

Answer:

Length= 8cm and Breadth= 4cm.

Step-by-step explanation:

Area of square = 36cm.2

a^2 = 36 cm.2

a = √36

So, a = 6cm.

Let the breadth of rectangle be x then length will be 2x.

A./Q.

Perimeter of square = Perimeter of rectangle

4×a = 2 (l+b)

4×6 = 2 (x+2x)

24 = 2 × 3x

3x = 12

x = 4

Now, length of the rectangle = 2x = 2×4 = 8cm.

and breadth of the rectangle = x. = 4cm.