Question

4) The perimeters of a square and rectangle are
equal. The area of the square is 36 cm? If the
wah length of the rectangle is twice its breadth, wha
are the dimensions of the rectangle?​

Answer 1

Answer:

Breadth=4cm

Length=8cm

Step-by-step explanation:

Let breadth of the rectangle be x.

->length=2x

(√36cm^)×4=2(x+2x)

=>6cm×4= 6x

=>24cm=6x

=>x=4cm

I hope this may help you out.

Please thank me and follow me

Answer 2

Given,

Perimeter of rectangle = Perimeter of square

We know that,

Area of square = a² (where a is a side)

36² =a × a

⇒ a² = 36

⇒ a = 6

We konw that,

Perimeter of a square= 4a (where a is a side)

a = 4×6

⇒ a = 24

∴ Perimeter of rectangle =24 cm

We know that,

Perimeter of rectangle =2(l+b)

 

⇒ 24 = 2(2x + x)

⇒ 24 =  4x + 2x

⇒ 24 = 6x

⇒ x = 4 

 

If x = 4 , then 2x = 2×4 = 8

Therefore,

$\boxed{\bold{Length\:of\:the\:Rectangle\:=8\:cm}}$

$\boxed{\bold{Breadth\:of\:the\:Rectangle\:=4\:cm}}$