In the figure, side AB is given by the expression 1 + 3, and side BC is 21 – 4. The simplified expression for the area of rectangle ABCD is

Step-by-step explanation:

Length of the rectangle given in the picture =

Width of the rectangle =

Area of the rectangle = Length × Width

                                    =

                                    =

                                    =

                                    =

Therefore, area of the given rectangle is .

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.

your answer is 228

step-by-step explanation:

add the top and bottom bases together, then divide them by 2, then multiply by the height.