Question

The width of a rectangle is half its length. The perimeter is 36 inches. What are the dimensions of the rectangle?

Answer 1

length=18cm,and width=9cm

Explanation:

Let x = length

Then width = (1/2)x

Perimeter = 2(length) + 2(width) = 54

length + width = 27

So, x + (1/2)x = 27

(3/2)x = 27

x = 27(2/3) = 18 (1/2)x = 9

Answer: length = 18 cm and width = 9 cm

Answer 2

Width:6 inches, Length:12 inches, Area(if needed):72 sqaure inches

Explanation:

Put the width as w, we can write evering in terms of w.

• Width: w
• Length: 2w
• Perimeter: w+2w+w+2w=6x=36, so w=36/6=6
• Area: w•2w=2(w^2)

Now:

• Width: 6 inches
• Length: 2(6)=12 inches
• Perimter: 36 inches
• Area: 2(6^2)=2(36)=72 square inches