Answer:
The width of rectangular blanket is 5.29 ft.
Step-by-step explanation:
Solution :
As per given question we have provided that :
- [tex]\orange\star[/tex] Length of blanket = 6 ft
- [tex]\orange\star[/tex] Diaognal of blanket = 8 ft
Here's the required formula to find the width of rectangular blanket :
[tex]\longrightarrow\pmb{\sf{d = \sqrt{(l)^{2} + (w)^{2}}}}[/tex]
- [tex]\pink\star[/tex] d = diagonal
- [tex]\pink\star[/tex] l = length
- [tex]\pink\star[/tex] w = width
Substituting all the given values in the formula to find the width of rectangular blanket :
[tex]\longrightarrow{\sf{d = \sqrt{(l)^{2} + (w)^{2}}}}[/tex]
[tex]\longrightarrow{\sf{8 = \sqrt{(6)^{2} + (w)^{2}}}}[/tex]
[tex]\longrightarrow{\sf{{(8)}^{2} = {(6)^{2} + (w)^{2}}}}[/tex]
[tex]\longrightarrow{\sf{{(8 \times 8)} = {(6 \times 6)+ (w)^{2}}}}[/tex]
[tex]\longrightarrow{\sf{{(64)} = {(36)+ (w)^{2}}}}[/tex]
[tex]\longrightarrow{\sf{(w)^{2} = 64 - 36}}[/tex]
[tex]\longrightarrow{\sf{(w)^{2} = 28}}[/tex]
[tex]\longrightarrow{\sf{w= \sqrt{28}}}[/tex]
[tex]\longrightarrow{\sf{w= 5.29 \: ft}}[/tex]
[tex]{\star\underline{\boxed{\sf{\purple{w= 5.29 \: ft}}}}}[/tex]
Hence, the width of rectangular blanket is 5.29 ft.
[tex] \rule{300}{2.5}[/tex]
