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Flauer [41]
3 years ago
12

4plss help its timed...

Mathematics
2 answers:
bixtya [17]3 years ago
4 0

Answer:

The width of rectangular blanket is <u>5.29 ft</u>.

Step-by-step explanation:

<h3><u>Solution</u> :</h3>

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 \times 8)} = {(6 \times 6)+ (w)^{2}}}}

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

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

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

\longrightarrow{\sf{w= \sqrt{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}

galina1969 [7]3 years ago
3 0

Answer:

width = 5.29 ft

Step-by-step explanation:

a² + 6² = 8²

a²  = 64 - 36

a² = 28

a = √28

a = 5.29 ft

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