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Mathematics

The perimeter of a rectangular cardboard is 96 cm; if its breadth is 18 cm, find the length and the area of the cardboard.

Mensuration

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Answer

We know that,

Perimeter of rectangle = 2 × (l + b) = 96 cm

Substituting the values we get,

⇒ 2(l + 18) = 96

⇒ (l + 18) = 48

⇒ l = 48 - 18 = 30 cm.

Area of rectangular cardboard = l × b

Substituting the values we get,

Area = 30 × 18 = 540 cm2.

Hence, length = 30 cm and area of rectanglular cardboard = 540 cm2.

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