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The length of a rectangle is 5cm more then the width. the perimeter of the rectangle is 38cm.find the length and width of the rectangle?

User Oy
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2 Answers

15 votes
15 votes

Answer:

Length - 12

Width - 7

Explanation:

38 = 2((5+x) + x)

38 = 10 +4x

28=4x

x=7

7+5=12

User Mixtou
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27 votes
27 votes

Given : The length of a rectangle is 5cm more then the width. The perimeter of the rectangle is 38cm. Find the length and width of the rectangle?

Solution : According to the question, here we are given that the length if the rectangle is 5m more than its breadth and so the perimeter of the rectangle is 38cm. So, for this let's check the steps below

Let's assume the breadth be B

So, as we got that length is 5cm more than Breadth which is B + 5cm

Perimeter is 38cm

Perimeter = 2(Length + Breadth)

  • Perimeter = 2(B + 5cm + B)

  • 38cm = 2(2B + 5cm)

  • 38cm/2 = 2B + 5cm

  • 19cm - 5cm = 2B

  • 2B = 14cm

  • B = 7cm

Finding Length

Length = B + 5cm = 7cm + 5cm = 12cm

Finding Breadth

Breadth(Width) = B = 7cm

Therefore, Width is 7cm whereas Length is 12cm

User Guido Leenders
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