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

b. 24 mm

step-by-step explanation:

use the pythagorean theorem.

a^2 + b^2 = c^2

a^2 + 7^2 = 25^2

a^2 + 49 = 625

a^2 = 576

a = 24

answer: b. 24 mm

step-by-step explanation:

4227473658779875563886538705958641728563470543621287463824132573847969p05749365273847906970680574936214

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet