Question

If the perimeter of a square with side 10cm is the same as the perimeter of a rectangle with length 15cm, find the breadth of the rectangle.

Answer 1

Answer:

Side of the square = 10cm

Perimeter of the square = 4 x side

= 4 x 10

= 40 cm

Given,

Length = 15 cm

2(l+b) = Perimeter of the rectangle

2(15 cm + b)=40cm

15cm + b = 40 / 2

15 cm + b = 20

b = 20 cm - 15cm

b = 5cm

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Answer 2

✬ Breadth of rectangle = 5 cm ✬

Step-by-step explanation:

Given:

• Perimeter of a square and rectangle is same.
• Measure of side of the square is 10 cm.
• Measure of length of rectangle is 15 cm.

To Find:

• What is the measure of breadth of rectangle?

Solution: Let the breadth of rectangle be b cm. As we know that:-

★ Perimeter of square = 4 x Side ★

$\implies{\rm }$ Perimeter = (4 x 10) cm

$\implies{\rm }$ Perimeter = 40 cm.....(1)

So, Perimeter of square is 40 cm.

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

$\implies{\rm }$ Perimeter = 2( 15 + b ) cm

$\implies{\rm }$ Perimeter = 30 + 2b cm ....(2)

So, Perimeter of rectangle is 30 + 2b cm.

• According to the question both the Perimeters are equal to each other i.e (equation 1 = 2) •

$\implies{\rm }$ Equation 1 = Equation 2

$\implies{\rm }$ 40 = 30 + 2b

$\implies{\rm }$ 40 – 30 = 2b

$\implies{\rm }$ 10 = 2b

$\implies{\rm }$ 10/2 = b

$\implies{\rm }$ 5 cm = b

Hence, The breadth of rectangle is 5 cm.

________________

★ Verification ★

➱ 2(Length + Breadth) = 4 x Side

➱ 2(15 + 5) = 4 x 10

➱ 2 x 20 = 40

➱ 40 = 40

Thus, Verified.