The length of a rectangle is 4 meters longer than the width. If the area is 22 square meters. find the rectangles dimensions. The width is what? The length is what?

The width is:

And the length is:

Step-by-step explanation:

Recall that the area of a rectangle is given by:

Where w is the width and l is the length.

We are given that the length of a rectangle is four meters longer than the width. Thus:

And we also know that the area of the rectangle is 22 square meteres.

Substitute:

Distribute and isolate the equation:

The equation isn't factorable, so we can instead use the quadratic formula:

In this case, a = 1, b = 4, and c = -22. Substitute:

Evaluate:

Thus, our two solutions are:

Since the width cannot be negative, we can ignore the second solution.

Since the length is four meters longer than the width:

Thus, the dimensions of the rectangle are:

Or, approximately 3.0990 by 7.0990.

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: