The width of a rectangle is 5x+3, and the length of the rectangle is 20x + 12. Determine the ratio of the width to the
length.
Enter the answer as a fraction in the form a/b.

1/4

Step-by-step explanation:

Algebraic Operations

The width of a rectangle is given as W=5x+3 and the length of the rectangle is given as L=20x+12.

It's required to determine the ratio of the width to the length, that is:

This fraction can be simplified if we factor the expression in the denominator. The LCF of 20x and 12 is 4, thus:

Now note we have the exact same expression up and down, thus simplifying:

1/4

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.