One length of a rectangular garden lies along a patio wall. However, the rest of the garden is enclosed by 28 feet of fencing. If the length of the garden is twice its width, what is the area of the garden?

The area of rectangle is 98 ft.sq.

Step-by-step explanation:

We are given one length of a rectangular garden lies along a patio wall.

Let the width of garden be x

Length of garden = Twice its width=2x

Length garden enclosed by fencing =l+2b=2x+2x= 4x

We are given that the rest of the garden is enclosed by 28 feet of fencing.

So,4x=28

x=7

Width of garden = 7 feet

length of garden = 2x=2(7)=14 feet

Area of garden =

Hence The area of rectangle is 98 ft.sq.

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.