2 adjacent sides of rectangle are (2x²-3y²)and (4x²-xy) find the area and perimeter of rectangle
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Adjacent sides basically refer to the length and. breadth.
Adjacent sides = (2x²-3y²) and (4x²-xy)
TO FIND : AREA AND PERIMETER
AREA:
area = length × breadth
area = (2x²-3y²) × (4x²-xy)
{We can easily solve this sum by using a identity (x+a)(x+b) but I'm not sure whether it's taught to you so I'm normally just multiplying but if you want to you can use the identity}
area = (2x²)(4x²)+(2x²)(-xy)+(-3y²)(4x²)+(-3y²)(-xy)
{or}
area = 2x²(4x²-xy) - 3y²(4x²-xy)
area = 8x⁴-2x³y-12y²x²+3y³x
PERIMETER:
perimeter = 2(l+b)
perimeter = 2{(2x²-3y²)+(4x²-xy)}
perimeter = 2{2x²-3y²+4x²-xy}
perimeter = 2{6x²-3y²-xy}
perimeter = 12x²-6y²-2xy
hope it helps
have a great day
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