Chapter 3: Q. 412 (page 409)

The width of a rectangle is three more than twice the length. The perimeter is $96$ inches. Find the length and the width.

Short Answer

Expert verified

The length and width of the given rectangle is $15 i n c h e s$ and $33 i n c h e s$ .

Step by step solution

Step 1. Given information.

Consider the given question,

Perimeter of the given rectangle is $96 i n c h e s$ .

Step 2. Find the length and the width.

Assume l and w to be the length and width of the rectangle. Then,

$w = 3 + 2 l$

We know the formula of the perimeter of the rectangle is given below,

$P = 2 (l + w) . . . . . . (i) 96 = 2 \{l + (3 + 2 l)\} 48 = 3 l + 3 l = 15 i n c h e s$

Then,

$w = 3 + 2 (15) w = 3 + 30 w = 33 i n c h e s$

Step 3. Check the answer.

Substitute the values in equation (i),

$P = 2 (15 + 33) P = 2 (48) P = 96 i n c h e s$

Hence, the values of the length and width obtained is correct.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

The width of a rectangle is three more than twice the length. The perimeter is $96$ inches. Find the length and the width.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Find the length and the width.

Step 3. Check the answer.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Theoretical and Mathematical Physics

Geometry

Decision Maths

Probability and Statistics

Statistics

Study anywhere. Anytime. Across all devices.

The width of a rectangle is three more than twice the length. The perimeter is 96inches. Find the length and the width.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Find the length and the width.

Step 3. Check the answer.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Theoretical and Mathematical Physics

Geometry

Decision Maths

Probability and Statistics

Statistics

Study anywhere. Anytime. Across all devices.

The width of a rectangle is three more than twice the length. The perimeter is $96$ inches. Find the length and the width.