The perimeter of a square is twenty-eight inches. What is the length of each side?

2 answers:

8 0

The perimeter of any shape is given by the sum of it's all sides and as here the shape is square so it's all sides must be equal and it have 4 sides. So if we assume it's one side to be s , then perimeter = (s+s+s+s) = 4s , so in our question :

${:\implies \quad \sf 4s=28}$

${:\implies \quad \sf s=\dfrac{28}{4}=7}$

${:\implies \quad \bf \therefore \quad \underline{\underline{s=7\:\: inches}}}$

Hence , the length of each side of the square is 7 inches 

LenaWriter [7]2 years ago

7 0

$\large \sf{⇒we \: know \: that \: perimeter \: of \: square = 4 \times sides} \\ \\ \large \sf{⇒ \: how} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \large \sf{⇒ \: we \: know \: that \: square \: is \: having \: all \: sides \: equal} \: \: \: \: \: \\ \\ \large \sf{⇒we \: only \: require \: to \: find \: that \: is \: one \: side} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \large \sf{⇒which \: is \: s + s + s + s = 4s} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \large \sf{⇒lets \: substitute \: the \: value \: } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \ \\ \\ \large \sf{⇒4s = 28} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

$\large \sf{⇒ \: s = \frac{28}{4} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \large \sf{⇒s = \cancel \frac{28}{4} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \large \sf{⇒s = 7} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \ \: \: \: \: \: \: \: \:: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \large \blue{\sf{⇒soo \: the \:perimeter(s) = 7inch,(side)}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\$

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