Question

A square board has an area of 144square units.How long is each side of the board

Answer 1

let, the side of the square board be x.

area of the square= side× side.

144 = x × x

144 = x^2

by taking square root.,

x= 12

therefore the side of square is 12 units.

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Answer 2

Answer:

Each side of the board is of 12 cm.

Step-by-step explanation:

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

And the area of board is 144 sq. units.

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

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

So, ATQ

$\bf x^2=144\\ \bf x=\sqrt{144}\\ \bf \therefore x=12 \; \; \; \; \:[\because 12^2=144]$

Hence, each side of this board is of 12 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-

$\bf1^2=1\\ \bf 2^2=4\\ \bf 3^2=9\\ \bf 4^4=16\\ \bf 5^2=25\\ \bf 6^2=36\\ \bf 7^2=49\\ \bf 8^2=64\\ \bf 9^2=81\\ \bf 10^2=100\\ \bf 11^2=121\\ \bf 12^2=144\\ \bf 13^2=169\\ \bf 14^2=196\\ \bf 15^2=225\\ \bf 16^2=256\\ \bf 17^2=289\\ \bf 18^2=324\\ \bf 19^2=361\\ \bf 20^2=400$