Question

the area of 2 cm wide design surrounded path of a square table is 136 cm,find the area of the table​

Answer 1

The area of the square table is 225 $cm^{2}$.

Step-by-step explanation:

Let the side of a square table = x cm.

When 2 cm wide surrounded path of a square table then the side of square table will be (x + 4) cm.

Area of surrounded path = 136 $cm^{2}$

=> $(x+4)^{2} - x^{2} = 136$

=> $x^{2} + 8x + 16 - x^{2} = 136$

=> 8x = 136 - 16 = 120

=> x = $\frac{120}{8}$ = 15 cm

So, side of the square table = x cm = 15 cm

Area of the square table = $x^{2}$ = 15 x 15 = 225 $cm^{2}$

Hence, the area of the square table is 225 $cm^{2}$.