Question

when 4 cm is subtracted from each side of a square the area becomes 144cm^2 form a equation by taking x as the side of square . find the side of the square ​

Answer 1

Given

• When 4 cm is subtracted from each side of the square the area becomes 144 cm²

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To Find

• The value of the side of the original square.

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Solution

Let the original side be 'x'.

The equation to find the measure of the side would be ⇒ x = (√144) + 4

Let's solve your equation step-by-step.

x = (√144) + 4

Step 1: Find the square root in the RHS.

⇒ x = (√144) + 4

⇒ x = 12 + 4

Step 2: Add the numbers in RHS.

⇒ x = 12 + 4

⇒ x = 16

Verification if 16 is the correct measure of the sides in the original square.

Area of Square ⇒ (Side)²

Side ⇒ 16 - 4 = 12

Area of Square ⇒ (12)² = 144 cm²

∴ The measure of each side of the given square would be 16 cm respectively.

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Answer 2

Here, as per the provided question we are asked to find the side of the square (when the informations are given here) –

GIVEN :

• When 4 centimetre is subtracted from each side of a square the area became 144² here.

TO FIND :

• The side of a square = ?

Therefore, considering the side of a square as 'x'

STEP-BY-STEP EXPLANATION :

Now, after assuming the side of square as x, we will find the side of the square –

$⟼ \rm {x} = (\sqrt{144}) + 4$

$⟹ \rm {x} = ( \sqrt{144}) + 4 \\ ⟹ \rm {x} = 12 + 4$

Now, x = 12 + 4 (solving with an appropriate step) :

$⟹ \rm {x} = 12 + 4 \\ ⟹ \rm {x} = 16$

Here, we have got the solution of x = 16. Now, we will verify the solution to see that solution is appropriate or not –

$\rm {Verification} \: -$

$⟹ \rm {Side^{2}} = 16 - 4 = 12 \\ ⟹ \rm {Area \: of \: square} = ( {12})^{2} = {144 \rm \: {Cm}}^{2}$

Therefore, the the measure of each side = 16cm.