# The length of a rectangle is twice its width. If the perimeter of the rectangle is 30 cm, find its area .?

### 11 Answers

- VivianLv 43 weeks ago
Abbreviations: Length = L, Perimeter = P, Width = W, Area = A

Area = Length:Width = L:W = 2:1

- RRLv 74 weeks ago
L:W = 2:1

2 + 1 = 3 parts

30/3 = 10 = 1 part

10 x 2 = 20 = 2 parts

However, this is 2L and 2W

therefore L = 20/2 = 10

and W = 10/2 = 5

Arera = L x W

= 10 x 5

= 50 sq cm

- L. E. GantLv 71 month ago
L = 2W

P = 30 = 2(L+W) = 2(3*W) = 6W

So W = 5 cm and L = 10 cm

A = L*W = 10*5 = 50 cm^2

- msoexpertLv 61 month ago
Here is a handy graphic I put together to help you get your answer, https://i.postimg.cc/mZ54cg9n/Screenshot-2020-07-1...

Source(s): I've taught math plus many other subjects. And have helped out lots of students to help them better understand and learn. - How do you think about the answers? You can sign in to vote the answer.
- KrishnamurthyLv 71 month ago
The length of a rectangle is twice its width.

If the perimeter of the rectangle is 30 cm,

its area is 50 cm^2.

- MichaelLv 71 month ago
l = 2w

p = 2l + 2w

30 = 2l + 2w

Substitute for l = 2w

30 = 2(2w) + 2w

30 = 4w + 2w

30 = 6w

Divide both sides by 6

5 = w

w = 5 cm

Remember

l = 2w

l = 2(5)

l = 10 cm

---------------

Area

a = l * w

a = 10 * 5

a = 50 cm² <––––––

- Spock (rhp)Lv 71 month ago
it is 5 x 10 ... you do the rest. ps -- on the exam you'll have to show how you proved that