Question

the area of a square is 10cm which is equal to the area of a rectangle of length 20cm.find the breadth of a rectangle and perimeter of a rectangle.​

Answer 1

Answer:

41

Step-by-step explanation:

Here, the area of the square = 10cm²

The length of the rectangle with the same area = 20cm

Area of rectangle = l × b

20 × b = 10cm²

        b = $\frac{10}{20}$ = ${\frac{1}2$ = 0.5

Therefore, the breadth of the rectangle = 0.5cm

Now, we must find the perimeter.

Perimeter of rectangle = 2(l + b)

Perimeter of this rectangle = 2(20 + 0.5)

                                             = 2 × 20.5

                                             = 41

Therefore, the perimeter of the rectangle = 41

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Answer 2

Solution

Given :-

• the area of a square is 10cm² which is equal to the area of a rectangle
• Length of rectangle= 20 cm

Find :-

• perimeter of rectangle & Breadth

Explanation

Formula

★ Perimeter of rectangle = 2×(Length+Breadth)

★Area of rectangle = ( Length + Breadth)

★Area of square = (Side)²

According to question

==> Area of square = Area of rectangle

==> 10 = Length × Breadth

==> 10 = (20 × Breadth)

==> Breadth = 10/20

==> Breadth = 0.5 cm

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Now, Calculate perimeter of rectangle

==> Perimeter of rectangle = 2 × (Length+Breadth)

==> Perimeter of rectangle = 2 × ( 10 +. 0.5)

==> Perimeter of rectangle = 2 × 10.5

==> Perimeter of rectangle = 21.0

==> Perimeter of rectangle = 21 cm

Hence

• Perimeter of rectangle will be = 21 cm

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