Chapter 3: Q. 3.94 (page 372)

The length of a rectangular garden is $30$ yards more than the width. The perimeter is $300$ yards. Find the length and width.

Short Answer

Expert verified

Length is $90$ yards and width is $60$ yards.

Step by step solution

Step 1. Given information

The length of a rectangular garden is $30$ yards more than the width. The perimeter is $300$ yards.

Step 2. Finding unknowns

Let the width is $b = x$

Therefore the length is $l = x + 30$

According the question,

$2 (l + b) = 300 2 (x + 30 + x) = 300 2 (2 x + 30) = 300 4 x + 60 = 300 4 x = 240 x = 60 = b$

And the length is

$l = x + 30 = 60 + 30 = 90$

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The length of a rectangular garden is $30$ yards more than the width. The perimeter is $300$ yards. Find the length and width.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Finding unknowns

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The length of a rectangular garden is 30 yards more than the width. The perimeter is 300 yards. 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

Pure Maths

Probability and Statistics

Decision Maths

Discrete Mathematics

Logic and Functions

Statistics

Study anywhere. Anytime. Across all devices.

The length of a rectangular garden is $30$ yards more than the width. The perimeter is $300$ yards. Find the length and width.