Question

the length of a rectangle is 20 CM more than its breadth if the perimeter is 100 centimetre find the dimension of the rectangle ?

Answer 1

Answer:

15cm by 35cm.

Step-by-step explanation:

Length = Breadth + 20 cm

Perimeter = 2 Length + 2 Breadth

Perimeter = 2 Breadth + 40 cm + 2 Breadth = 100cm

4 Breadth + 40cm = 100cm

4 Breadth = 60cm

Breadth = 15cm

Length = 15cm + 20cm = 35cm

The dimension of the rectangle is 15cm by 35cm.

Answer 2

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$\huge{\underline{\underline{\sf{\blue{SOLUTION:-}}}}}$

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

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• The beadth of the rectangle = 15 Cm
• The length of the rectangle = 35 Cm

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

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

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

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• The breath of the rectangle = ?
• The length of the rectangle = ?

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

Let the breadth of the rectangle be b.

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

• Length of the rectangle = b + 20

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

$\sf\underline{\purple{\:\:\: Perimeter = 100 \: Cm\:\:\:}}$

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

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$\longrightarrow \sf {2l + 2b = 100}$

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$\longrightarrow \sf {l = b + 20}$

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$\longrightarrow \sf {2b + 2b + 40 = 100}$

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$\longrightarrow \sf {4b = 60}$

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$\longrightarrow \sf {b = \cancel\dfrac{60}{4} }$

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$\longrightarrow \sf {b = 15\: cm}$

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

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• The breath of the rectangle is 15 Cm.

• The length of the rectangle = 15 + 20

• The length of the rectangle is 35 Cm.

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$\rule{200}{2}$