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3 years ago

The length of a rectangle is 3cm more than twice the width. The perimeter is 84 cm. Find the dimensions .

Mathematics

1 answer:

blsea [12.9K]3 years ago

4 0

Width of the rectangle is 13 cm and length is 29 cm.

<u>Step-by-step explanation:</u>

Step 1:

Given perimeter of the rectangle = 84 cm. Let the width be x, then the length of the rectangle = 2x + 3. Use the formula for perimeter of a rectangle = 2(length + width) to find the dimensions.

84 = 2(2x + 3 + x) = 2(3x + 3) = 6(x + 1) [taking 3 as common factor outside)

⇒ 84 = 6x + 6

⇒ 78 = 6x

∴ x = 13

⇒ Width of the rectangle = 13 cm

∴ Length of the rectangle = 2x + 3 = 29 cm

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