Chapter 3: Q. 411 (page 409)

The length of a rectangle is $12$ cm more than the width. The perimeter is $74$ cm. Find the length and the width.

Short Answer

Expert verified

The length and the width of the given rectangle is $24.5 c m$ and $12.5 c m$ .

Step by step solution

Step 1. Given information.

Consider the given question,

Perimeter of the given rectangle is $74 c m$ .

Step 2. Find the length and breadth.

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

$l = w + 12$

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

$P = 2 (l + w) . . . . . . (i) 74 = 2 \{w + (w + 12)\} 37 = 2 w + 12 w = 12.5 c m$

Then,

$l = 12.5 + 12 l = 24.5 c m$

Step 3. Check the answer.

Substitute the values of length and width in equation (i),

$P = 2 (24.5 + 12.5) P = 2 (37) P = 74 c m$

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

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The length of a rectangle is $12$ cm more than the width. The perimeter is $74$ cm. Find the length and the width.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Find the length and breadth.

Step 3. Check the answer.

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The length of a rectangle is 12 cm more than the width. The perimeter is 74 cm. Find the length and the width.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Find the length and breadth.

Step 3. Check the answer.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Calculus

Statistics

Applied Mathematics

Logic and Functions

Geometry

Study anywhere. Anytime. Across all devices.

The length of a rectangle is $12$ cm more than the width. The perimeter is $74$ cm. Find the length and the width.