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A rectangle has a perimeter of 270cm and its length is 2½cm times its width find its width​

User Pjau
by
8.5k points

2 Answers

5 votes

Answer:

width = 38.6 cm (approx.)

Explanation:

let the width be x cm, so that the length is 2.5x cm.

Perimeter = 2 (length + width)

2 (length + width) = 270 cm

or, 2 (2½x cm + x cm) = 270 cm

or, 3½x cm = 270/2 = 135 cm

or, x = 270/7 cm = 38.6 cm (approx.)

User Trond Kristiansen
by
8.7k points
2 votes

Answer:

Width = 38.57cm

Explanation:

Perimeter = 270cm

Let x be the width, so

Length = 2 1/2 x = 5x/2

Perimeter of Rectangle = 2(length + width)

270cm = 2(5x/2 + x)

270 = 5x + 2x

7x = 270

x = 38.571 cm

Therefore, the width is 38.57cm (rounded to 2nd decimal place)

User Jose Raul Perera
by
9.1k points
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