Question

The length of a rectangle is 20cm more than its breadth if the perimeter is 100 find the dimension of the rectangle​ ​

Answer 1

$\bf{\underline{\underline \blue{Solution:-}}}$

$\sf\underline{\red{\:\:\: AnswEr:-\:\:\:}}$

• Breadth of rectangle = 15 Cm
• Length of rectangle = 35 Cm

$\sf\underline{\red{\:\:\: Given:-\:\:\:}}$

• The length of a rectangle is 20cm more than its breadth. If the perimeter is 100.

$\sf\underline{\red{\:\:\: Need\:To\: Find:-\:\:\:}}$

• Breath of rectangle = ?
• Length of rectangle = ?

$\bf{\underline{\underline \blue{Explanation:-}}}$

Let the breadth of rectangle be x.

Then, the length of rectangle = x + 20 Cm

$\:\:\:\:\dag\bf{\underline{\underline \red{Now:-}}}$

$\sf\underline{\purple{\:\:\: Perimeter = 2 \times (Length + Breadth)\:\:\:}}$

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$\sf{Perimeter = 2 \times (x + x + 20)}$

$\sf{Perimeter = 2 \times (2x + 20)}$

$\sf{Perimeter = 4x + 40}$

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$\sf{\underline\pink{A.T.Q:-}}$

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$\dashrightarrow \sf {4x + 40 = 100}$

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$\dashrightarrow \sf {4x = 100 - 40}$

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$\dashrightarrow \sf {4x = 60}$

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$\dashrightarrow \sf {x = \cancel\dfrac{60}{4} }$

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$\dashrightarrow \sf {x = 15}$

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$\sf\underline{\green{\:\:\: ThereFore:-\:\:\:}}$

• The breath of the rectangle = 15 Cm

• The length of the rectangle = 15 + 20
• The length of the rectangle = 35 Cm

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$\rule{200}{2}$

Answer 2

Step-by-step explanation:

let the breadth be x.

therefore,length=x+20.

p=100cm

2(x+20+x)=100

4x+40=100

4x=100-40

x=60/4

x=15

therefore,breadth=15cm and length =15+20=35cm.