Question

find the area of square whose perimeter is 64 cm​

Answer 1

$\bigstar$ Question :

$\longmapsto\bf{Find\:the\: area\: of\: square \:whose \:perimeter\: is \:64cm.}$

$\bigstar$ To Find :

$\longmapsto$ $\mathtt{Area \:of\: square = \:?}$

$\bigstar$ Given :

$\longmapsto$ $\mathtt{Perimeter\: of\: square = 64 cm}$

$\bigstar$ Required Formula :

$\longmapsto$ $\mathtt{Area\: of\: square = a^{2}}$

$\longmapsto$ $\mathtt{Perimeter\: of\: square = 4a}$

$\bigstar$ Solution :

$\longmapsto$ $\mathtt{64 = 4a}$

$\longmapsto$ $\mathtt{a = \frac{64}{4}}$

$\longmapsto$ $\mathtt{a = 16}$

$\longmapsto$ $\mathtt{Area\: of \:square = 16^2}$

$\longmapsto$ $\mathtt{Area\:of\:square = 16 \times 16}$

$\longmapsto$ $\mathtt{Area\:of\:square = 256 cm^2}$

Therefore,The area of square is 256$\bf{cm^2}$.

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More to know :

$\longmapsto$ Area of rectangle = length × width

$\longmapsto$ Area of triangle = $\frac{l\times b}{2}$

$\longmapsto$ Area of trapezium = $\frac{a+b}{2} h$

$\longmapsto$ Area of circle = ${\pi r^2}$

$\longmapsto$ Area of parallelogram = breadth × height

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Answer 2

Answer:

\bigstar★ Question :

\longmapsto\bf{Find\:the\: area\: of\: square \:whose \:perimeter\: is \:64cm.}⟼Findtheareaofsquarewhoseperimeteris64cm.

\bigstar★ To Find :

\longmapsto⟼ \mathtt{Area \:of\: square = \:?}Areaofsquare=?

\bigstar★ Given :

\longmapsto⟼ \mathtt{Perimeter\: of\: square = 64 cm}Perimeterofsquare=64cm

\bigstar★ Required Formula :

\longmapsto⟼ \mathtt{Area\: of\: square = a^{2}}Areaofsquare=a

2

\longmapsto⟼ \mathtt{Perimeter\: of\: square = 4a}Perimeterofsquare=4a

\bigstar★ Solution :

\longmapsto⟼ \mathtt{64 = 4a}64=4a

\longmapsto⟼ \mathtt{a = \frac{64}{4}}a=

4

64

\longmapsto⟼ \mathtt{a = 16}a=16

\longmapsto⟼ \mathtt{Area\: of \:square = 16^2}Areaofsquare=16

2

\longmapsto⟼ \mathtt{Area\:of\:square = 16 \times 16}Areaofsquare=16×16

\longmapsto⟼ \mathtt{Area\:of\:square = 256 cm^2}Areaofsquare=256cm

2

Therefore,The area of square is 256\bf{cm^2}cm

2

.

________________________________________

More to know :

\longmapsto⟼ Area of rectangle = length × width

\longmapsto⟼ Area of triangle = \frac{l\times b}{2}

2

l×b

\longmapsto⟼ Area of trapezium = \frac{a+b}{2} h

2

a+b

h

\longmapsto⟼ Area of circle = {\pi r^2}πr

2

\longmapsto⟼ Area of parallelogram = breadth × height

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Step-by-step explanation:

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