Question

There is a large square portrait of a leader that covers an area of 4489 cm². 1f each side has a 2 cm liner, what would be its area?

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Answer 1

Area of the square = 4489 cm2 (side)² = 4489 cm2 Length of a side Length of a side with liner = 67 + 2 + 2 cm = 71 cm Area of the larger square = 71 x 71 cm² = 5041 cm2 Area of the liner = Area of big square-Area of small square = (5041 – 4489) cm2 = 552CM²

Answer 2

✦Answer :-

Area of lining =272 cm²

● Explanation : -

Let x be side of the square.

Area of the square portrait is -

$A1=x^ 2;$

$4489=x^ 2;$

$X= {\sqrt4489};$

$x = 67 cm$

Area of the lining is

$A=A2-A1;$

$A=(x+2)^ 2-x^ 2;$

$A=(67+2)^ 2-67^ 2;$

$A = 4761 - 4489$

$\Rightarrow: A=272 cm^ 2$

$Hence, \: area \: of \: the \: outer \: lining \\ is \: 272 cm^ 2.$