Chapter 4: Q 111 (page 405)

The perimeter of a toddler play area is $100$ feet. The length is ten more than three times the width. Find the length and width of the play area.

Short Answer

Expert verified

The length and width of the play area are $40$ and $10$ feet respectively.

Step by step solution

Given information is,

The perimeter of a toddler play area is $100$ feet.

The length is ten more than three times the width.

To find:

The length and width of the play area.

Let us consider,

$l$ represents the length of the play area.

$w$ represents the width of the play area.

The perimeter of a toddler play area is $100$ feet.

From the above lines the obtained equation is,

$2 (l + w) = 100 l + w = 50$

The length is ten more than three times the width.

So, $l = 10 + 3 w$ .

From the step 3,

The obtained linear equations are,

$l + w = 50 l = 10 + 3 w$

Now substitute $l = 10 + 3 w$ in the equation $l + w = 50$ .

$10 + 3 w + w = 50 10 + 4 w = 50 4 w = 50 - 10 4 w = 40 w = \frac{40}{4} w = 10$

Find the value of l.

Now substitute the value of $w$ in the equation $l + w = 50$ .

$l + 10 = 50 l = 50 - 10 l = 40$

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The perimeter of a toddler play area is $100$ feet. The length is ten more than three times the width. Find the length and width of the play area.

Short Answer

Step by step solution

Given information is,

To find:

Let us consider,

From the step 3,

Find the value of l.

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The perimeter of a toddler play area is 100feet. The length is ten more than three times the width. Find the length and width of the play area.

Short Answer

Step by step solution

Given information is,

To find:

Let us consider,

From the step 3,

Find the value of l.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Applied Mathematics

Discrete Mathematics

Statistics

Theoretical and Mathematical Physics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

The perimeter of a toddler play area is $100$ feet. The length is ten more than three times the width. Find the length and width of the play area.