Chapter 3: Q. 3.92 (page 371)

The width of a rectangle is six less than twice the length. The perimeter is $18$ . Find the length and width.

Short Answer

Expert verified

The length is $5$ and width is $4$ .

Step by step solution

Step 1. Given information

The width of a rectangle is six less than twice the length. The perimeter is $18$

Step 2. Finding unknown

Let the length of rectangle be x

Therefore the width is $b = 2 x - 6$

According to question,

role="math" localid="1647145974094" $2 (l + b) = 18 2 (x + 2 x - 6) = 18 2 (3 x - 6) = 18 6 x - 12 = 18 6 x = 30 x = 5 = l$

And width is

$b = 2 x - 6 = 2 \times 5 - 6 = 10 - 6 = 4$

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The width of a rectangle is six less than twice the length. The perimeter is $18$ . Find the length and width.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Finding unknown

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The width of a rectangle is six less than twice the length. The perimeter is 18. Find the length and width.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Finding unknown

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Logic and Functions

Decision Maths

Mechanics Maths

Theoretical and Mathematical Physics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

The width of a rectangle is six less than twice the length. The perimeter is $18$ . Find the length and width.