Question

Find the perimeter of the figure. Round all figures to the nearest hundredths place.

Isosceles trapezoid
13 ft
4 ft
9 ft
a. 26.47 ft
b. 26.90 ft
c. 30.94 ft
d. 24.45 ft

Answer 1

Shorter Version: C lol

Answer 2

Given:

Consider the below figure attached with this question.

To find:

The per perimeter of the isosceles trapezoid. Round all figures to the nearest hundredths place.

Solution:

Consider the isosceles trapezoid is ABCD.

Draw two perpendicular from C and D to AB as shown in second figure.

Now, CDEF is a rectangle,

`EF=CD=9\text{ ft}`

`AB-EF=13-9`

`AB-EF=4\text{ ft}`

It is an isosceles trapezoid, so
`\Delta ADE\cong \Delta BCF`.

`AE=BF=(4)/(2)=2\text{ ft}`

Now,

`AE^2+DE^2=AD^2` [Pythagoras theorem]

`2^2+4^2=AD^2`

`4+16=AD^2`

`√(20)=AD`

`AD=BC\approx 30.94` [Isosceles trapezoid]

Find the perimeter of the figure.

`Perimeter=AB+BC+CD+AD`

`Perimeter=13+4.47+9+4.47`

`Perimeter=30.94\text{ ft}`

Therefore, the correct option is c.