Question

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

Answer 1

The Answer would be A

Explanation:

I took the test :>

Answer 2

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

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

`b=4\ ft`

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

`h=3\ ft`

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

`b=(6-4)/(2)=1\ ft`

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

`h=3\ ft`

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