Question

The perimeter of a square is 40cm. A rectangle of length 20cm has the same area that of the square. Find the breadth of the rectangle

Answer 1

perimeter of square =4*side
40=4side
side = 10
area of square = side²=100
area of square=area of rectangle
100 =l×b
100=20b
b=100/20
b=5 cm

Answer 2

☞ Given :-

• Perimeter of Square = 40cm

• Length (l) of Rectangle = 20cm

• Area of Square = Area of Rectangle

☞ To Find :-

• Breadth of Rectangle

☞ Solution :-

Now,

Perimeter of Square = 40cm. ----(given)

And,

We know that ,

✝ Perimeter of Square = 4a, where a = side of Sq.

So,

➥ 4a = 40

↦ a = 40/4 = 10cm

Hence,

Side(a) of Square = 10cm

We know that,

✝ Area of Square = a²

✝ Area of Rectangle = l × b

And,

It is given that,

➥ Area of Rectangle = Area of Square

↦ l × b = a²

↦ 20 × b = (10)²

↦ 20b = 100

↦ b = 100/20 = 5cm

Hence,

➥ Breadth of Rectangle = 5 cm

✎ More Formulas :-

Square⇘

• Area of Square = a²

• Perimeter of Square = 4a

• Diagonal of Square = √2a

Rectangle ⇘

• Area of Rectangle = l × b

• Perimeter of Rectangle = 2(l + b)

• Diagonal = √l² + b²