if the area of a rectangle is 8xsquare - 45ysquare + 18xy, and one of its sides is 4x + 15y. Find the length of adjacent sides.
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Given that area of rectangle = 8x² - 45y² + 18xy
one of the side = 4x+15y.
Let it be the length.
So we need to find breadth.
We know that area = length×breadth
⇒ 8x² - 45y² + 18xy = (4x+15y)× breadth
⇒ breadth = (8x² - 45y² + 18xy)/(4x+15y)
⇒ breadth = (2x-3y)(4x+15y)/(4x+15y)
⇒breadth = 2x - 3y
So adjacent side is (2x - 3y)
one of the side = 4x+15y.
Let it be the length.
So we need to find breadth.
We know that area = length×breadth
⇒ 8x² - 45y² + 18xy = (4x+15y)× breadth
⇒ breadth = (8x² - 45y² + 18xy)/(4x+15y)
⇒ breadth = (2x-3y)(4x+15y)/(4x+15y)
⇒breadth = 2x - 3y
So adjacent side is (2x - 3y)
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here is your answer mate
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