The rectangle below has an area of x^2-15xy+56y^2 square meters and a width of x-8y meters. what expression represents the length of the rectangle?

We need a length such that

We deduce that

and we may solve the problem using long division. Nevertheless, it's rather simple to deduce that the length also has to be a linear polynomial in and , and thus something like .

So, we have

And finally, we have

if and only if the coefficients of the terms are the same. So, we want

Since is given, it's easy to see that the solutions is

So, the length is

In fact, we can check

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

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step-by-step explanation: