Question

The perimeter of a rectangle is 13 cm and its width 2,3÷4cm find its length

Answer 1

Answer:

$\rm{\huge{ \red{\dag}\underline{ correct \: \: Question} }}$

→ The perimeter of a rectangle is 13 cm and it's width is $\rm{2 \frac{3}{4} \: cm }$ . Find it's length.

$\huge\red{{\dag}} \rm\large{\underline \pink{{Solution}}}$

↦Let, Assume the length of the rectangle to be X cm.

$\rm{\bf{ \large\underline{we \: know \: that, }}}$

The Perimeter of the rectangle =2×(Length+width)

$\rm{\red{\implies }2 \times (x + 2 \frac{3}{4} )}$

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$\rm{\red{\implies }2(x + \frac{11}{4}) }$

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The perimeter is given to be 13 cm. Therefore,

$\rm{\red{\implies }2(x + \frac{11}{4}) = 13 }$

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$\rm{\red{\implies }x + \frac{11}{4} = \frac{13}{2} }$

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$\rm{\red{\implies }}x = \frac{13}{2} - \frac{11}{4}$

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$\rm{\red{\implies } \frac{26}{4} - \frac{11}{4} = \frac{15}{4} = \bf\pink{ 3 \frac{3}{4} }}$

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Therefore, the length of the rectangle is $\bf \underline \green{{3 \frac{3}{4} \: cm }}$

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