Question

the length of a rectangle is twice its width. if the perimeter of the rectangle is 36 m, find its length and width. length: \square m width: \square m

Explanation:

Step1: Define variables for width

Let width = $w$ m

Step2: Define length in terms of width

Length = $2w$ m

Step3: Use perimeter formula

Perimeter of rectangle: $2(\text{length} + \text{width}) = 36$
Substitute values: $2(2w + w) = 36$

Step4: Simplify and solve for $w$

$2(3w) = 36$
$6w = 36$
$w = \frac{36}{6} = 6$

Step5: Calculate length

Length = $2w = 2\times6 = 12$

Answer:

length: 12 m
width: 6 m