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Chapter 3: Q16. (page 151)

If the perimeter of a rectangle is 12 times the width of the rectangle, then the length of the rectangle is how many times the width?

Short Answer

Expert verified

The length of the rectangle is 5 times the width.

Step by step solution

01

– Perimeter of the rectangle.

Suppose lis the length and wis the width of the rectangle.

Then the perimeterPof the rectangle is P=2l+w.

02

– Find a mathematical expression for the given situation.

The perimeter of the rectangle is 12 times the width of the rectangle.

This can be mathematically written as follows:

2l+w=12w

03

– Find value of l.

Solve 2l+w=12w:

2l+w=12wl+w=6w鈥勨赌勨赌勨赌凞颈惫颈诲别产辞迟丑蝉颈诲别蝉产测2l=5w鈥勨赌勨赌勨赌凷耻产迟谤补肠迟wfrombothsides

So, the length of the rectangle is 5 times the width.

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