Question

The perimeter of a square whose area is 64 sq.cm is (With Explanation) Level-Class 6.​

Answer 1

Answer:

Area of square = 64cm²

Area formula = S × S

64 = S²

Side(s) = 8cm

Since, Side is equal to 8cm

Then, Perimeter = 4×Side

P= (4×8)

P= 32cm

Hence,perimeter is 32cm

Step-by-step explanation:

Hope it helps uh!✌️

Answer 2

${\underline{\underline{\bf{Given:}}}}$

• Area of a square = 64 cm².

${\underline{\underline{\bf{Need\:to\:find:}}}}$

• The perimeter of the square.

${\underline{\underline{\bf{Formulae\:to\:be\:used:}}}}$

$\underline{\boxed{\sf{{Area}_{[Square]}={a}^{2}\:sq.units}}}$

$\underline{\boxed{\sf{{Perimeter}_{[Square]}=4a\:units}}}$

$\:\:\:\:\:\:\:\:\:\:\:\bullet{\sf{\:a=side}}$

${\underline{\underline{\bf{Solution:}}}}$

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎We know that the area of the square is 64 cm². And we've to find the it's perimeter. To find the perimeter, the measure of side is required. We can find it by inserting the measure of area in the formula of area of square, and then solve for side. Finally, by substituting the measure of side in the formula of perimeter of square, gives the required answer. So, let's do it!

Side of the square:

$\longrightarrow{\sf{{Area}_{[Square]}={a}^{2}\:sq.units}}$

$\:\:\:\:\:\:\implies{\sf{64={a}^{2}}}$

$\:\:\:\:\:\:\implies{\sf{\sqrt{64}=a}}$

$\:\:\:\:\:\:\implies\underline{\sf{8\:cm=a}}$

$\red{\bigstar}$ Perimeter of the square:

By putting the measure of side in the formula,

$\longrightarrow{\sf{4a\:units}}$

$\:\:\:\:\:\:\implies{\sf{4\times 8}}$

$\:\:\:\:\:\:\implies{\sf{\red{\underline{\underline{32\:cm}}}}}$

${\underline{\underline{\bf{Required\:answer:}}}}$

• The perimeter of the square is 32 cm.

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