Question 1

A rectangular garden measuring 12 meter by 16 meter is to have a walkway installed around it with a width of x meters as shown below find the area of the walkway

Question 2

Answer:

$Area\ of\ walkway=4x^2+56x\ meter^2$

Explanation:

$Length\ of\ garden=16\ meters\\\\Width\ of\ garden=12\ meters\\\\Width\ of\ walkway=x\ meters\\\\Now\ Length\ of\ new\ rectangular=16+x+x\ \ \ \ \ (as\ x\ meter\ walkway\ increased\ both\ the\ sides)\\\\Now\ width\ of\ new\ rectangular=12+x+x\ \ \ \ \ (as\ x\ meter\ walkway\ increased\ both\ the\ sides)\\\\Area\ of\ walkway=Area\ of\ new\ rectangular-Area\ of\ rectangular\\\\Area\ of\ rectangle=length* width\\\\Area\ of\ walkway=(16+2x)* (12+2x)-16* 12$
$Area\ of\ walkway=16* 12+2x* 12+16* 2x+2x* 2x-16* 12\\\\Area\ of\ walkway=4x^2+56x\ meter^2$

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