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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 24.5cmand 12.5cm.

Step by step solution

01

Step 1. Given information.

Consider the given question,

Perimeter of the given rectangle is 74cm.

02

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=2l+w......(i)74=2w+w+1237=2w+12w=12.5cm

Then,

l=12.5+12l=24.5cm

03

Step 3. Check the answer.

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

P=224.5+12.5P=237P=74cm

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

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