Question

A square board has an area of 256 square units how long is each of board

OPTIONS ARE

1)16 units
2)12 units
3)13 units
4)6 units

Answer 1

Answer:

16 units .

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Answer 2

Answer:

$\huge \mathfrak{ \underline{ \red{ \: Given}}} : -$

• A square board has an area of 256 square

$\huge \mathfrak{ \underline{ \red{ \: To \: Find}}} : -$

• how long is each of board

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

It's being given that, the board is a square, so it means that each side is equal.

And the area of board is 256sq. units.

So, we know the formula to find the area of a square, which is $\sf side^2$.

Now, as the value of side is unknown, we will name it x (as you want).

So, ATQ

$\sf x^2=256\\ \sf x=\sqrt{256}\\ \sf \therefore x=16 \; \; \; \; \:[\because 16^2=256]$

Hence, each side of this board is of 16 units.

What are squares?

• When a number is multiplied by itself, then the resultant number is a square of the initial number, vice-versa, the product of a number, when it is multilpied by itself is its square root.

Vice-versa, you may conclude that, square roots are the area of a square.

Square of some numbers-

$\sf1^2=1\\ \sf 2^2=4\\ \sf 3^2=9\\ \sf 4^4=16\\ \sf 5^2=25\\ \sf 6^2=36\\ \sf 7^2=49\\ \sf 8^2=64\\ \sf 9^2=81\\ \sf 10^2=100\\ \sf 11^2=121\\ \sf 12^2=144\\ \sf 13^2=169\\ \sf 14^2=196\\ \sf 15^2=225\\ \sf\red{ 16^2=256}\\ \sf 17^2=289\\ \sf 18^2=324\\ \sf 19^2=361\\ \sf 20^2=400$