Question

Find the length and width of the rectangle in each case if the perimeter and the ratio of the length and width are given

Perimeter= 80cm ; length: width=7:3

haLP :(

Answer 1

Length of rectangle = 28 cm

Width of rectangle = 12 cm

Explanation:

Perimeter= 80cm

We are given Length:Width = 7:3

We can write them as:

Length =7x

Width=3x

We need to find length and width.

To find length and width we need to find value of x.

The formula used is:
`Perimeter= 2(Length+Width)`

Putting values and finding value for x

`Perimeter= 2(Length+Width)\\80=2(7x+3x)\\40=10x\\x=(40)/(10) \\x=4`

So, length = 7x = 7*4 = 28

Width = 3x = 3*4 = 12

So, Length of rectangle = 28 cm

Width of rectangle = 12 cm