Question

Perimeter of a rectangle whose length is 5cm
more than its breadth.​

Answer 1

Correct Question :-

• The Perimeter of the Rectangle is 70cm, whose length is 5cm more than its breadth, then find the measure of length and breadth.

Given :-

• Perimeter of the Rectangle = 70cm
• Length of the Rectangle is 5cm more then its breadth.

To Find :-

• Measures of Length and Breadth

Solution :-

Let the Breadth be x cm

Then, The Length will be x + 5 cm

⇒ Perimeter = 2 ( Length + Breadth )

⇒ 70 = 2 ( x + 5 + x )

⇒ 70/2 = 2x + 5

⇒ 35 = 2x + 5

⇒ 35 - 5 = 2x

⇒ 30 = 2x

⇒ 30/2 = x

⇒ 15 = x

________________

Breadth = x = 15cm

Length = x + 5 = 15 + 5 = 20cm

________________

.

Verification :-

⇒ Perimeter = 2 ( Length + Breadth )

⇒ 70 = 2 ( 20 + 15 )

⇒ 70 = 2 × 35

⇒ 70 = 70

Hence, Verified

________________

Answer 2

Right Question ::-

The perimeter of a rectangle is 70 cm , whose length is 5cm more than its breadth.Find the length and breadth of rectangle ?

Given ::-

• Perimeter of rectangle = 70cm

• Length is 5cm more than its breadth.

To find ::-

• Find the length and breadth of rectangle .

Solution ::-

According to question ::-

• Length is 5cm more than its breadth.

_________

• length = x + 5

• Breadth = x

• Perimeter = 70

Perimeter of rectangle

$➠$ 2 ( length + breadth )

$➠$ 70 = 2 ( x + 5 + x )

$➠$ 70 = 2 ( 2x + 5 )

$➠$ $\dfrac{70}{2}$ = 2x + 5

$➠$ 35 = 2x + 5

$➠$ 35 - 5 = 2x

$➠$ 30 = 2x

$➠$ $\dfrac{30}{2}$ = x

$➠$ 15 = x

∴ x = 15

_________

• Length = x + 5

⠀⠀⠀⠀⠀⠀⠀⠀= 15 + 5

⠀⠀⠀⠀⠀⠀⠀⠀= 20 cm

• Breadth = x

⠀⠀⠀⠀⠀⠀⠀⠀⠀= 15

________

Let's varify ::-

Perimeter of rectangle

$➠$ 2 ( length + breadth )

$➠$ 70 = 2 ( 20 + 15 )

$➠$ 70 = 2 ( 35 )

70 = 70

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