Question

4plss help its timed...

Answer 1

The width of rectangular blanket is 5.29 ft.

Step-by-step explanation:

Solution :

As per given question we have provided that :

• 
  `\orange\star` Length of blanket = 6 ft
• 
  `\orange\star` Diaognal of blanket = 8 ft

Here's the required formula to find the width of rectangular blanket :

`\longrightarrow\pmb{\sf{d = \sqrt{(l)^(2) + (w)^(2)}}}`

• 
  `\pink\star` d = diagonal
• 
  `\pink\star` l = length
• 
  `\pink\star` w = width

Substituting all the given values in the formula to find the width of rectangular blanket :

`\longrightarrow{\sf{d = \sqrt{(l)^(2) + (w)^(2)}}}`

`\longrightarrow{\sf{8 = \sqrt{(6)^(2) + (w)^(2)}}}`

`\longrightarrow{\sf{{(8)}^(2) = {(6)^(2) + (w)^(2)}}}`

`\longrightarrow{\sf{{(8 * 8)} = {(6 * 6)+ (w)^(2)}}}`

`\longrightarrow{\sf{{(64)} = {(36)+ (w)^(2)}}}`

`\longrightarrow{\sf{(w)^(2) = 64 - 36}}`

`\longrightarrow{\sf{(w)^(2) = 28}}`

`\longrightarrow{\sf{w= √(28)}}`

`\longrightarrow{\sf{w= 5.29 \: ft}}`

`{\star\underline{\boxed{\sf{\purple{w= 5.29 \: ft}}}}}`

Hence, the width of rectangular blanket is 5.29 ft.

`\rule{300}{2.5}`

Answer 2

width = 5.29 ft

Explanation:

a² + 6² = 8²

a² = 64 - 36

a² = 28

a = √28

a = 5.29 ft