Question

find the width of carpet if its length is 12 feet and it has a diagonal of length 20 feet

Answer 1

Hey there

Here is your answer > >

A carpet is of rectangular shape

d^2= l^2+b^2

20^2= l^2+12^2

400-144=l^2

256=l^2

l=Root 256

l=16 foot

hope that helps

Answer 2

Given Length of the carpet = 12 feet and Diagonal = 20 feet.

Let the width of the carpet = 'x' feet.

Now,

We can use Pythagoras theorem to find the width of the carpet.

⇒ Diagonal^2 = (Length)^2 + (Width)^2

⇒ (20)^2 = (12)^2 + (x)^2

⇒ 400 = 144 + x^2

⇒ 400 - 144 = x^2

⇒ 256 = x^2

⇒ √256 = x

⇒ x = 16.

Therefore, the width of the carpet = 16 feet.

Hope it helps!