Question

3. Perimeters of a rectangle and square are equal. If the length of the rectangle is 14 cm and
the perimeter of the square is 44 cm, find the area of the rectangle.
answer fastly step by step explanation ​

Answer 1

Answer:

112sq. cm

Step-by-step explanation:

let, breadth be x cm

2(14+x)=44

14+x=22

x=8

area=(14×8)sq. cm=112sq. cm

Answer 2

Answer:

112 cm²

Step-by-step explanation:

Given -

Perimeter of Rectangle = Perimeter of Square

Length of Rectangle (l) = 14 cm

Perimeter of Square = 44 cm

To find -

The area of Rectangle

Solution -

To find the area of rectangle, first we have to find the breadth of rectangle (b)

Perimeter of rectangle = Perimeter of square = 44 cm

Perimeter of rectangle = 2 (l + b)

=> 44 cm = 2 (l + b)

=> 44/2 cm = l+b

=> 22 cm = 14 cm + b

=> 22 cm - 14 cm = b

=> 8 cm = b

=> b = 8 cm

Hence breadth = 8 cm

Now

Area of rectangle = Length × Breadth

= 14 cm × 8 cm

= 112 cm²

Hence the area of rectangle = 112 cm²

It's our answer.

hope it helps.