Math, asked by 025145, 4 months ago

Grace uses 58 cm of a string to form a rectangle. If the length of the rectangle formed is 19 cm, what is its breadth?


a.
30 cm


b.
12 cm


c.
21 cm


d.
10 cm

Answers

Answered by puneet098
27

Answer:

hey mate ur answer is 10 cm

Step-by-step explanation:

we know that

string used is equal to perimeter of rectangle, so

2(l+b) =58 cm

(l+b) = 29 cm

l=19 cm given

so,

b= 29-19

=10 cm

I hope it will help u

Answered by Anonymous
126

Given :

  • Grace uses 58 cm of a string to form a rectangle. If the length of the rectangle formed is 19 cm

To find :

  • Breadth of the rectangle

Solution :

\\{\blue\bigstar}{\underline{\boxed{\bf{\red{String\:used\:to\:form\:a\: rectangle=Perimeter_{(rectangle)}}}}}}\\

{\large\pink\dagger}\sf{Perimeter\:of\: rectangle=58cm}

{\large\pink\dagger}\sf{Length\:of\: rectangle=19cm}

\\\qquad\large\mathfrak{\underline{According\:to\:the\:question}}

\\\quad{\sf{\purple{Perimeter_{(rectangle)}=2(length+breadth)}}}\\\\

  • Substitute the values

\\\implies\sf 58 = 2(19+b)\\\\

\implies\sf \dfrac{58}{2}=19 + b \\\\

\implies\sf 29=19+b \\\\

\implies\sf 29-19=b \\\\

\implies\sf b=10cm \\\\

\therefore{\underline{\sf{Breadth\:of\:a\:rectangle\:is\: \bf 10cm}}}\\\\

  • (d) is the correct option

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