Question

What must the length of a rectangle be if the with is 12 inches and the perimeter is at least 180 inches? :

Answer 1

Solution :-

Given : Perimeter of a rectangle = 180 inches.

Breadth = 12 inches

We know that,

Perimeter of a rectangle = 2(Length + Breadth) sq. units

=> 180 = 2(Length + 12)

=> 180/2 = Length + 12

=> 90 - 12 = Length = 78

Hence,

Length of the rectangle = 78 inches

Answer 2

$\huge{\mathfrak{\underline{Solution:}}}$

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$\large\sf\underline{\underline{Given:}}$

Width of Rectangle = 12 Inches
Perimeter of Rectangle = 180 Inches

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$\large\sf\underline{\underline{To Find:}}$

Length of Rectangle

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$\large\sf\underline{\underline{Explanation:}}$

$\sf As \: we \: know \: that, \\ \sf Perimeter \: of \: Rectangle = \boxed{ \boxed{ \sf2( Length + Breadth )}} \\ \\ \rm \Rightarrow 180 \: inches = 2(L + 12 \: inches) \\ \rm \Rightarrow 180 \: inches = 2L + 24 \: inches \\\Rightarrow \rm 180 - 24 \: inches = 2L \\ \Rightarrow \rm \frac{156 \: inches}{2} = L \\ \Rightarrow \rm Length = \boxed{ \boxed{ \rm 78 \: inches}}$

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