Question

The width of Ram's ground is 4 /5 of its length. if its perimeter is 80 m, find its dimensions

Answer 1

$\huge{\mathfrak {\red{Q}{\underline{\underline{uestion}}}}}$



The width of Ram's ground is 4/5 of is length. If its perimeter is 80 m, find its dimensions.


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${ \red{\mathfrak{\huge{A}}}}{\underline {\underline{\mathfrak{\huge{nswer}}}}}$




→$\underline{ \underline {\mathfrak {Length = 22.23 \: m }}}$

→$\underline{ \underline {\mathfrak {Breadth = 17.784 \: m }}}$




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$\huge\mathfrak \pink{ \overline{ \underline{ \: Brainliest \: Answer \: }}}$




${ \sf Let, Length \: be \:} x \sf\: m \\ {\sf Then,} \: \frac{4}{5} x \: \sf m \\ \\ \sf Perimeter = 2(length × breadth) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = { \sf 2} \bigg(x + { \sf \frac{4}{5} }x \bigg) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = { \sf2}x + { \sf\frac{8}{5} }x \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: By \: the \: given \: condition, \\ \\ \\ \implies 2x + \frac{8x}{5} = 80 \\ \implies 10x \: + 8x = 400 \\ \implies 18x = 400 \\ \implies x = \frac{400}{18} = 22.23 \\ \\ \\ \therefore \sf Length \: is \: { \bf {\red {22.23 \:m }}}\: and \: {\sf width \: is }\: \frac{4}{5} \: × \: 22.23 \: = { \bf \red{ \: 17.784 \: m }}$



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$\huge \orange{ \boxed{ \boxed{ \sf{ \therefore \: Length = 22.23 \: m}}}}$




$\huge \orange{ \boxed{ \boxed{ \sf{ \therefore \: Breadth = 17.784 \: m}}}}$




✔✔ Hence, it is solved ✅✅




$\huge \blue{ \boxed{ \boxed{ \mathscr{THANKS}}}}$

Answer 2

Answer:

$\boxed{\red{\bf{22\frac{2}{9}m\:and}\:17\frac{7}{9}m}}$

Step-by-step explanation:

The width of the ground is 4/5 th of the length .

Let the length of the ground be x .

Then the width is equal to 4/5 x

We know that the perimeter of a rectangle is given by the formula :-

2 ( length + breadth )

$2(l+b)=80m\\\\\implies 2(x+\frac{4x}{5})=80\\\\\implies x+\frac{4x}{5}=\frac{80}{2}\\\\\implies \frac{5x+4x}{5}=40\\\\\implies 9x=40\times 5\\\\\implies 9x=200\\\\\implies x=\frac{200}{9}$

$\text{Breadth}=\frac{4}{5}\times \frac{200}{9}\\\\\implies \frac{160}{9}$

We will convert the fractions into mixed fractions and write our final answer .

$\boxed{\red{\bf{22\frac{2}{9}m\:and}\:17\frac{7}{9}m}}$