Question

The length of a rectangle is twice the breadth. Perimeter of the rectangle is 36cm. What is the breadth. *

1 point​

Answer 1

❍ Let the length of rectangle be 2x cm and breadth of rectangle be x cm respectively.

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$\underline{\bigstar\boldsymbol{According\;to\;the\;given\;Question:}}$

• The length of a rectangle is twice than the breadth let the value be 2x
• Perimeter of rectangle is 36 cm.

$\underline{\frak{ \pink{\dag\;As\;we\;know\;that:}}} \\ \\ \red{\bigstar} \: {\underline{\boxed {\sf{Perimeter \: of \: rectangle = 2(l + b)}}}}$

Applying the values,

$\twoheadrightarrow \sf{36 = 2(2x + x)} \\ \\ \twoheadrightarrow \sf{36 = 4x + 2x} \\ \\ \twoheadrightarrow \sf{36 = 6x} \\ \\ \twoheadrightarrow \sf{x = \cancel{\frac{36}{6}}} \\ \\ \twoheadrightarrow \underline{\boxed{\frak{x = 6}}} \red \bigstar$

Therefore,

• The length of rectangle is 2x = 2 × 6 = 12cm
• The breadth of rectangle is x = 6 cm

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