Question

4.7 The perimeters of a square and a rectangle are the same. If the side of the square measures 15 cm and one side of the rectangle measures 18 cm, what will be the the area of the rectangle?​

Answer 1

Answer:

Side of the square is 15 cm. Perimeter of a square and a rectangle is same. Perimeter of Rectangle = 60 cm. 60 / 2 = (18 cm + breadth)

Answer 2

Answer:

Solution

Step: 1: Find perimeter of the square

Perimeter of the square =4×(length of the side)

                        

                        =(4×15)cm

                        

                        =60cm

                        

Step 2 : Find perimeter of the rectangle

   Let the breadth of the rectangle be x cm.

 

  Perimeter of the rectangle=2(18+x)cm

As, Perimeters of a square and a rectangular are the same.

    ⟹2(18+x)=60

    

    ⟹18+x=30

    

    x=12 cm

    

Thus, breadth of the rectangle is 12 cm

Step 3: Find the area of rectangle

  Area of rectangle = length×breadth

                    

                    =(18×12)cm2

                    

                    =216 cm2

                    

∴area of rectangle is 216 cm2

Step-by-step explanation:

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