Question

A rectangle has a perimeter of 60 inches. The length of the rectangle is 3 inches less than twice the width
What is the length of the rectangle?

Answer 1

Answer:

length = 19 units

Step-by-step explanation:

width = x

length = 2x-3

width = 11 units

length = 2(11)-3

length = 22-3

length = 19 units

perimeter = 11 + 11 + 19 + 19 = 60 units

Answer 2

The perimeter of a shape is the sum of the side lengths of the shape. The length of the rectangle is 19 units.

Given that:

$Perimeter = 60$

$Length = 2 \times Width -3$

The perimeter of a rectangle is:

$Perimeter = 2 \times (Length + Width)$

So, we have:

$60= 2 \times (2\times Width - 3+ Width)$

Divide both sides by 2

$30= 2\times Width - 3+ Width$

Collect like terms

$3 + 30= 2\times Width + Width$

$33= 3Width$

Divide both sides by 3

$11= Width$

Rewrite as:

$Width = 11$

Recall that: $Length = 2 \times Width -3$

$Length = 2 \times 11 - 3$

$Length = 22- 3$

$Length = 19$

Hence, the length of the rectangle is 19 units.

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