Question

An architect's sketch of plans for the front of a garage in the shape of pentagon is shown below. What is the approximate perimeter of the
front of the garage?
-8
-6 -4 -2
A. about 36 ft
B. about 21 ft
C. about 10 ft
D. about 77 ft

Answer 1

Using it's concept, it is found that the approximate perimeter of the front of the garage is:

A. about 36 ft.

What is the perimeter of a figure?

The perimeter of a figure is given by the total length of it's boundary.

In this problem, we have that:

• The bottom boundary has length of 10 units.

• The two lateral boundaries have lengths of 7 units.

• There are two top boundaries, which are the hypotenuses of a right triangle with legs 3 and 5, hence:

$t = \sqrt{3^2 + 5^2} = 5.83$

Hence the perimeter of the figure is:

P = 10 + 2 x 7 + 2 x 5.83 = 35.66.

Rounding, it is of about 36 ft, hence option A is correct.

More can be learned about the perimeter of a figure at brainly.com/question/26134384

#SPJ1