A rectangle is 4 times longer than it is wide. The perimeter of the rectangle is 30 cm. Find the dimension of the rectangle.

Question

Mathematics

Seth Horn

12 January, 23:16

A rectangle is 4 times longer than it is wide. The perimeter of the rectangle is 30 cm. Find the dimension of the rectangle.

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Answers (1)

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Ticklebutt · Answer 1

Width is 3 cm and length is 12 cm

Step-by-step explanation:

Step 1: Let the width of the rectangle be x. Then the length = 4x. Find the dimensions if perimeter = 30 cm

Perimeter of the rectangle = 2 (length + breadth)

30 = 2 (x + 4x)

30 = 10x

⇒ x = 30/10 = 3

⇒ 4x = 12