The back of a park bench is in the shape of a regular trapezoid, as shown in the figure. A trapezoid has a base of 6 feet, height of 3 feet, and top side length of 4 feet. What shapes can the trapezoid be divided into to find its area? two triangles with dimensions of 1 ft by 3 ft and a rectangle with dimensions of 4 ft by 3 ft two triangles with dimensions of 2 ft by 3 ft and a rectangle with dimensions of 4 ft by 3 ft a parallelogram with dimensions of 4 ft by 6 ft and a triangle with dimensions of 2 ft by 3 ft a parallelogram with dimensions of 4 ft by 3 ft and a triangle with dimensions of 4 ft by 3 ft

two triangles with dimensions of 1 ft by 3 ft and a rectangle with dimensions of 4 ft by 3 ft

Step-by-step explanation:

we know that

A trapezoid can be divided into one rectangle and two triangles

Find the dimensions of rectangle

The base is equal to the minor base of trapezoid

so

The height of rectangle is the same that the height of trapezoid

The dimensions of rectangle are 4 ft by 3 ft

Find the dimensions of triangles

The base of triangles is equal to the semi-difference of the bases of trapezoid

so

The height of triangles is the same that the height of the trapezoid

The dimensions of triangles are 1 ft by 3 ft

therefore

two triangles with dimensions of 1 ft by 3 ft and a rectangle with dimensions of 4 ft by 3 ft