Chapter 3: Q. 3.93 (page 372)

The perimeter of a rectangular swimming pool is $200$ feet. The length is $40$ feet more than the width. Find the length and width.

Short Answer

Expert verified

Length is $70$ feet and width is $30$ feet.

Step by step solution

Step 1. Given information

The perimeter of a rectangular swimming pool is $200$ feet. The length is $40$ feet more than the width.

Step 2. Finding unknowns

Let the width of rectangle is $b = x$

Therefore the length is $x + 40$

According to the question,

$2 (l + b) = 200 2 (x + 40 + x) = 200 2 (2 x + 40) = 200 4 x + 80 = 200 4 x = 120 x = 30 = b$

And the length is

$l = x + 40 l = 30 + 40 l = 70$

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The perimeter of a rectangular swimming pool is $200$ feet. The length is $40$ feet more than the width. Find the length and width.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Finding unknowns

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The perimeter of a rectangular swimming pool is 200 feet. The length is 40 feet more than the width. Find the length and width.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Finding unknowns

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Calculus

Geometry

Statistics

Logic and Functions

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

The perimeter of a rectangular swimming pool is $200$ feet. The length is $40$ feet more than the width. Find the length and width.